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Finding the Fourth Proportional to 396.83, 547.68 and 231.13

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Solution

The fourth proportional to 396.83, 547.68 and 231.13 is: 318.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.83 : 547.68 = 231.13 : x
  2. Step 2: Convert to fraction form
    396.83/547.68 = 231.13/x
  3. Step 3: Cross multiply
    396.83x = 547.68 × 231.13
  4. Step 4: Simplify right side
    396.83x = 126,584.12
  5. Step 5: Solve for x
    x = 126,584.12/396.83
  6. Step 6: Final answer
    x = 318.99

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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.