To calculate the degrees the hour hand moves between 1:10 and 4:30, first determine the total time elapsed. From 1:10 to 4:30 is 3 hours and 20 minutes. The hour hand moves at a rate of 30 degrees per hour (360 degrees/12 hours), plus an additional 0.5 degrees for each minute (30 degrees/60 minutes). Therefore, the total movement is (3 \times 30 + 20 \times 0.5 = 90 + 10 = 100) degrees.
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