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Finding the Fourth Proportional to 396.48, 546.80 and 249.12

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Solution

The fourth proportional to 396.48, 546.80 and 249.12 is: 343.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.48 : 546.80 = 249.12 : x
  2. Step 2: Convert to fraction form
    396.48/546.80 = 249.12/x
  3. Step 3: Cross multiply
    396.48x = 546.80 × 249.12
  4. Step 4: Simplify right side
    396.48x = 136,218.82
  5. Step 5: Solve for x
    x = 136,218.82/396.48
  6. Step 6: Final answer
    x = 343.57

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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.