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Finding the Fourth Proportional to 567.49, 781.50 and 392.53

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Solution

The fourth proportional to 567.49, 781.50 and 392.53 is: 540.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.49 : 781.50 = 392.53 : x
  2. Step 2: Convert to fraction form
    567.49/781.50 = 392.53/x
  3. Step 3: Cross multiply
    567.49x = 781.50 × 392.53
  4. Step 4: Simplify right side
    567.49x = 306,762.20
  5. Step 5: Solve for x
    x = 306,762.20/567.49
  6. Step 6: Final answer
    x = 540.56

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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.