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Finding the Fourth Proportional to 396.43, 546.92 and 230.62

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Solution

The fourth proportional to 396.43, 546.92 and 230.62 is: 318.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.43 : 546.92 = 230.62 : x
  2. Step 2: Convert to fraction form
    396.43/546.92 = 230.62/x
  3. Step 3: Cross multiply
    396.43x = 546.92 × 230.62
  4. Step 4: Simplify right side
    396.43x = 126,127.96
  5. Step 5: Solve for x
    x = 126,127.96/396.43
  6. Step 6: Final answer
    x = 318.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.