At what time between 4 and 5 will the hands of a clock be at right angles?

1
\(38\dfrac{3}{11}\) minutes past 4
2
\(38\dfrac{9}{13}\) minutes past 4
3
\(38\dfrac{2}{11}\) minutes past 4
4
\(38\dfrac{5}{13}\) minutes past 4

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