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Finding the Fourth Proportional to 396.23, 593.12 and 286.47

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Solution

The fourth proportional to 396.23, 593.12 and 286.47 is: 428.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.23 : 593.12 = 286.47 : x
  2. Step 2: Convert to fraction form
    396.23/593.12 = 286.47/x
  3. Step 3: Cross multiply
    396.23x = 593.12 × 286.47
  4. Step 4: Simplify right side
    396.23x = 169,911.80
  5. Step 5: Solve for x
    x = 169,911.80/396.23
  6. Step 6: Final answer
    x = 428.83

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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.