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Finding the Fourth Proportional to 396.11, 593.87 and 152.71

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Solution

The fourth proportional to 396.11, 593.87 and 152.71 is: 228.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.11 : 593.87 = 152.71 : x
  2. Step 2: Convert to fraction form
    396.11/593.87 = 152.71/x
  3. Step 3: Cross multiply
    396.11x = 593.87 × 152.71
  4. Step 4: Simplify right side
    396.11x = 90,687.64
  5. Step 5: Solve for x
    x = 90,687.64/396.11
  6. Step 6: Final answer
    x = 228.94

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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.