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Finding the Fourth Proportional to 539.71, 743.24 and 515.10

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Solution

The fourth proportional to 539.71, 743.24 and 515.10 is: 709.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.71 : 743.24 = 515.10 : x
  2. Step 2: Convert to fraction form
    539.71/743.24 = 515.10/x
  3. Step 3: Cross multiply
    539.71x = 743.24 × 515.10
  4. Step 4: Simplify right side
    539.71x = 382,847.00
  5. Step 5: Solve for x
    x = 382,847.00/539.71
  6. Step 6: Final answer
    x = 709.36

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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.