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Finding the Fourth Proportional to 396.97, 596.36 and 344.12

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Solution

The fourth proportional to 396.97, 596.36 and 344.12 is: 516.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.97 : 596.36 = 344.12 : x
  2. Step 2: Convert to fraction form
    396.97/596.36 = 344.12/x
  3. Step 3: Cross multiply
    396.97x = 596.36 × 344.12
  4. Step 4: Simplify right side
    396.97x = 205,217.28
  5. Step 5: Solve for x
    x = 205,217.28/396.97
  6. Step 6: Final answer
    x = 516.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.