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Finding the Fourth Proportional to 396.62, 547.17 and 309.14

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Solution

The fourth proportional to 396.62, 547.17 and 309.14 is: 426.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.62 : 547.17 = 309.14 : x
  2. Step 2: Convert to fraction form
    396.62/547.17 = 309.14/x
  3. Step 3: Cross multiply
    396.62x = 547.17 × 309.14
  4. Step 4: Simplify right side
    396.62x = 169,152.13
  5. Step 5: Solve for x
    x = 169,152.13/396.62
  6. Step 6: Final answer
    x = 426.48

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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.