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Finding the Fourth Proportional to 938.28, 1,408.14 and 418.08

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Solution

The fourth proportional to 938.28, 1,408.14 and 418.08 is: 627.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.28 : 1,408.14 = 418.08 : x
  2. Step 2: Convert to fraction form
    938.28/1,408.14 = 418.08/x
  3. Step 3: Cross multiply
    938.28x = 1,408.14 × 418.08
  4. Step 4: Simplify right side
    938.28x = 588,715.17
  5. Step 5: Solve for x
    x = 588,715.17/938.28
  6. Step 6: Final answer
    x = 627.44

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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.