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Finding the Fourth Proportional to 396.98, 591.50 and 353.87

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Solution

The fourth proportional to 396.98, 591.50 and 353.87 is: 527.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.98 : 591.50 = 353.87 : x
  2. Step 2: Convert to fraction form
    396.98/591.50 = 353.87/x
  3. Step 3: Cross multiply
    396.98x = 591.50 × 353.87
  4. Step 4: Simplify right side
    396.98x = 209,309.38
  5. Step 5: Solve for x
    x = 209,309.38/396.98
  6. Step 6: Final answer
    x = 527.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.