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Finding the Fourth Proportional to 938.20, 1,408.16 and 476.30

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Solution

The fourth proportional to 938.20, 1,408.16 and 476.30 is: 714.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.20 : 1,408.16 = 476.30 : x
  2. Step 2: Convert to fraction form
    938.20/1,408.16 = 476.30/x
  3. Step 3: Cross multiply
    938.20x = 1,408.16 × 476.30
  4. Step 4: Simplify right side
    938.20x = 670,706.61
  5. Step 5: Solve for x
    x = 670,706.61/938.20
  6. Step 6: Final answer
    x = 714.89

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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.