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Finding the Fourth Proportional to 396.52, 593.83 and 201.27

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Solution

The fourth proportional to 396.52, 593.83 and 201.27 is: 301.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.52 : 593.83 = 201.27 : x
  2. Step 2: Convert to fraction form
    396.52/593.83 = 201.27/x
  3. Step 3: Cross multiply
    396.52x = 593.83 × 201.27
  4. Step 4: Simplify right side
    396.52x = 119,520.16
  5. Step 5: Solve for x
    x = 119,520.16/396.52
  6. Step 6: Final answer
    x = 301.42

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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.