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Finding the Fourth Proportional to 396.38, 593.92 and 242.41

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Solution

The fourth proportional to 396.38, 593.92 and 242.41 is: 363.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.38 : 593.92 = 242.41 : x
  2. Step 2: Convert to fraction form
    396.38/593.92 = 242.41/x
  3. Step 3: Cross multiply
    396.38x = 593.92 × 242.41
  4. Step 4: Simplify right side
    396.38x = 143,972.15
  5. Step 5: Solve for x
    x = 143,972.15/396.38
  6. Step 6: Final answer
    x = 363.22

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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.