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Finding the Fourth Proportional to 581.48, 802.16 and 539.79

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Solution

The fourth proportional to 581.48, 802.16 and 539.79 is: 744.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.48 : 802.16 = 539.79 : x
  2. Step 2: Convert to fraction form
    581.48/802.16 = 539.79/x
  3. Step 3: Cross multiply
    581.48x = 802.16 × 539.79
  4. Step 4: Simplify right side
    581.48x = 432,995.25
  5. Step 5: Solve for x
    x = 432,995.25/581.48
  6. Step 6: Final answer
    x = 744.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.