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Finding the Fourth Proportional to 396.18, 593.01 and 284.81

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Solution

The fourth proportional to 396.18, 593.01 and 284.81 is: 426.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.18 : 593.01 = 284.81 : x
  2. Step 2: Convert to fraction form
    396.18/593.01 = 284.81/x
  3. Step 3: Cross multiply
    396.18x = 593.01 × 284.81
  4. Step 4: Simplify right side
    396.18x = 168,892.21
  5. Step 5: Solve for x
    x = 168,892.21/396.18
  6. Step 6: Final answer
    x = 426.30

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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.