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Finding the Fourth Proportional to 938.48, 1,408.12 and 418.13

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Solution

The fourth proportional to 938.48, 1,408.12 and 418.13 is: 627.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.48 : 1,408.12 = 418.13 : x
  2. Step 2: Convert to fraction form
    938.48/1,408.12 = 418.13/x
  3. Step 3: Cross multiply
    938.48x = 1,408.12 × 418.13
  4. Step 4: Simplify right side
    938.48x = 588,769.13
  5. Step 5: Solve for x
    x = 588,769.13/938.48
  6. Step 6: Final answer
    x = 627.36

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Why These Related Problems?

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