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Finding the Fourth Proportional to 540.71, 747.09 and 520.21

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Solution

The fourth proportional to 540.71, 747.09 and 520.21 is: 718.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.71 : 747.09 = 520.21 : x
  2. Step 2: Convert to fraction form
    540.71/747.09 = 520.21/x
  3. Step 3: Cross multiply
    540.71x = 747.09 × 520.21
  4. Step 4: Simplify right side
    540.71x = 388,643.69
  5. Step 5: Solve for x
    x = 388,643.69/540.71
  6. Step 6: Final answer
    x = 718.77

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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.