Given:
54 gal of hot water tank holds 450 lb of water.
Let's find the amount of water a 69 gal tank will hold.
Here, we have:
54 gal = 450 lb
69 gal = x lb
Now, apply the proportionality equation:
![(450)/(54)=(x)/(69)](https://img.qammunity.org/2023/formulas/mathematics/college/k3qreroz9jq6yfv2thkcptr2lkbcwfru5g.png)
Cross multiply:
![\begin{gathered} 54x=450*69 \\ \\ 54x=31050 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/tcwb01nfmwvcawhnwx87mw3t07ru8jwid5.png)
Divide both sides by 54:
![\begin{gathered} (54x)/(54)=(31050)/(54) \\ \\ x=575 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/xtv1725onlb7gzz7r4hfx1x0y86pkn91qb.png)
Therefore, a 69 gal tank will hold 575 lb of water.
ANSWER:
575 lb of water