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Finding the Fourth Proportional to 396.05, 593.73 and 257.27

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Solution

The fourth proportional to 396.05, 593.73 and 257.27 is: 385.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.05 : 593.73 = 257.27 : x
  2. Step 2: Convert to fraction form
    396.05/593.73 = 257.27/x
  3. Step 3: Cross multiply
    396.05x = 593.73 × 257.27
  4. Step 4: Simplify right side
    396.05x = 152,748.92
  5. Step 5: Solve for x
    x = 152,748.92/396.05
  6. Step 6: Final answer
    x = 385.68

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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.