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Hi TMortimer!
Please check this link: http://answers.microsoft.com/en-us/windows/forum/windows_8-update/how-do-i-fix-error-code-0x80070490windows-update/38fa3ffc-6361-4c14-83d3-13bc5c3a9047?auth=1
Looks like a clean boot followed by an Windows update can solve the issue you have with the computer.
Cheers :-)