Determine the difference between the hours. Thus, we have the following:
![373(1)/(3)-266(2)/(3)=106(2)/(3)](https://img.qammunity.org/2023/formulas/mathematics/college/76wavcwp2liozog8p69hlvithatezzxtn8.png)
This means that for every 10 days in Saturn, the number of hours increases by 106 2/3.
Thus, for every day, the number of hours increases by
![(106(2)/(3))/(10)=10(2)/(3)](https://img.qammunity.org/2023/formulas/mathematics/college/ts9udqhfv9xj6ejozpe88tu81ih91o7bb4.png)
Therefore, to obtain the number of hours in 72 days in Saturn, we solve for the following:
![\begin{gathered} 586(2)/(3)+(72-55)(10(2)/(3))=586(2)/(3)+(17)(10(2)/(3)) \\ =586(2)/(3)+181(1)/(3) \\ =768 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/tpp3l86ry63jn6g4flwb21d683z0610l19.png)