Could first try re-installing origin.
Somebody marked this as a solution in another thread... not exactly sure which one fixed it for them.
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Have you tried a Clean Boot?
http://help.ea.com/en/article/how-to-clean-boot-your-pc/
I'm thinking something is running and blocking it.
Another thought was chaning yoru DNS to 8.8.8.8 and 8.8.4.4 (google dns) (right click adapter, properties, TCP/IP v4, properties)
You can clear your dns cache by opening CMD as admin, type: ipconfig /flushdns
Googling I seen several people said they restored their router to factory settings and it fixed it.
software called RogueKiller fixes Hosts, DNS, Proxy problems.
http://www.bleepingcomputer.com/download/roguekiller/
(don't click the fix shortcuts button)
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