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Finding the Fourth Proportional to 396.44, 547.39 and 308.96

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Solution

The fourth proportional to 396.44, 547.39 and 308.96 is: 426.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.44 : 547.39 = 308.96 : x
  2. Step 2: Convert to fraction form
    396.44/547.39 = 308.96/x
  3. Step 3: Cross multiply
    396.44x = 547.39 × 308.96
  4. Step 4: Simplify right side
    396.44x = 169,121.61
  5. Step 5: Solve for x
    x = 169,121.61/396.44
  6. Step 6: Final answer
    x = 426.60

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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.