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Finding the Fourth Proportional to 396.57, 547.30 and 230.84

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Solution

The fourth proportional to 396.57, 547.30 and 230.84 is: 318.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.57 : 547.30 = 230.84 : x
  2. Step 2: Convert to fraction form
    396.57/547.30 = 230.84/x
  3. Step 3: Cross multiply
    396.57x = 547.30 × 230.84
  4. Step 4: Simplify right side
    396.57x = 126,338.73
  5. Step 5: Solve for x
    x = 126,338.73/396.57
  6. Step 6: Final answer
    x = 318.58

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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.