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I had a similar problem on a system where I had fiddled with the list of available repositories. The problem was that apt-get knew that packages were available (libqt4-dev was one of them), but couldn't actually connect to the proper location to download them. The error messages you're getting look pretty similar to what I had. If I remember correctly, resetting /etc/apt/sources.list to a default solved most of my problems, so it may be worth a shot.