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Finding the Fourth Proportional to 627.11, 938.48 and 380.17

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Solution

The fourth proportional to 627.11, 938.48 and 380.17 is: 568.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.11 : 938.48 = 380.17 : x
  2. Step 2: Convert to fraction form
    627.11/938.48 = 380.17/x
  3. Step 3: Cross multiply
    627.11x = 938.48 × 380.17
  4. Step 4: Simplify right side
    627.11x = 356,781.94
  5. Step 5: Solve for x
    x = 356,781.94/627.11
  6. Step 6: Final answer
    x = 568.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.