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Finding the Fourth Proportional to 627.86, 864.33 and 540.02

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Solution

The fourth proportional to 627.86, 864.33 and 540.02 is: 743.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.86 : 864.33 = 540.02 : x
  2. Step 2: Convert to fraction form
    627.86/864.33 = 540.02/x
  3. Step 3: Cross multiply
    627.86x = 864.33 × 540.02
  4. Step 4: Simplify right side
    627.86x = 466,755.49
  5. Step 5: Solve for x
    x = 466,755.49/627.86
  6. Step 6: Final answer
    x = 743.41

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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.