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Finding the Fourth Proportional to 396.64, 547.32 and 230.86

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Solution

The fourth proportional to 396.64, 547.32 and 230.86 is: 318.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.64 : 547.32 = 230.86 : x
  2. Step 2: Convert to fraction form
    396.64/547.32 = 230.86/x
  3. Step 3: Cross multiply
    396.64x = 547.32 × 230.86
  4. Step 4: Simplify right side
    396.64x = 126,354.30
  5. Step 5: Solve for x
    x = 126,354.30/396.64
  6. Step 6: Final answer
    x = 318.56

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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.