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Finding the Fourth Proportional to 396.88, 547.62 and 249.52

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Solution

The fourth proportional to 396.88, 547.62 and 249.52 is: 344.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.88 : 547.62 = 249.52 : x
  2. Step 2: Convert to fraction form
    396.88/547.62 = 249.52/x
  3. Step 3: Cross multiply
    396.88x = 547.62 × 249.52
  4. Step 4: Simplify right side
    396.88x = 136,642.14
  5. Step 5: Solve for x
    x = 136,642.14/396.88
  6. Step 6: Final answer
    x = 344.29

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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.