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According to Crucial's Memory Advisor and Kingston's memory advisor, your system (Media Centre m7060n) uses PC2-4200 (DDR2 533MHz). I checked Corsairs memory configurator as well but they don't list your system.
Now, in theory, you should be able to use PC2-6400 ram, as the system will simply run at a lower speed (i.e 533MHz which is the speed of PC2-4200). However, I can't promise this especially with big brand systems such as yours because HP etc tend to use fairly proprietry boards and can be fussy about memory.
In short, the Corsair ram you listed should work but you take a slight risk that it won't. If it doesn't then obviously you have the hassle and expense of having to return it to Newegg and swap it different memory.
If you want to be 100% certain of ordering ram thats compatible, then I suggest you buy it direct from Crucial. That will cost just over $100 (USD) for 4 x 1GB sticks. Use their memory advisor to select the right memory. Crucial then guarantee it will be compatible. Alternatively, newegg are selling Crucial PC2-4200 1GB sticks for $39.99 for 2 x 1GB sticks, so this will only cost $80 for 4GB. It won't be guaranteed to be compatible if you do it this way, but as the ram is PC2-4200, then it stands a good chance of working in your system.
Also be aware that only 64 bit versions of the Windows operating system actually support more than 3 or 3.5GB of ram. 32-bit versions may recognise the full 4GB but are unable to address the last 512MB to 1GB of ram correctly.