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Finding the Fourth Proportional to 938.92, 1,408.38 and 362.28

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Solution

The fourth proportional to 938.92, 1,408.38 and 362.28 is: 543.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.92 : 1,408.38 = 362.28 : x
  2. Step 2: Convert to fraction form
    938.92/1,408.38 = 362.28/x
  3. Step 3: Cross multiply
    938.92x = 1,408.38 × 362.28
  4. Step 4: Simplify right side
    938.92x = 510,227.91
  5. Step 5: Solve for x
    x = 510,227.91/938.92
  6. Step 6: Final answer
    x = 543.42

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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.