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Finding the Fourth Proportional to 396.57, 546.84 and 249.16

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Solution

The fourth proportional to 396.57, 546.84 and 249.16 is: 343.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.57 : 546.84 = 249.16 : x
  2. Step 2: Convert to fraction form
    396.57/546.84 = 249.16/x
  3. Step 3: Cross multiply
    396.57x = 546.84 × 249.16
  4. Step 4: Simplify right side
    396.57x = 136,250.65
  5. Step 5: Solve for x
    x = 136,250.65/396.57
  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.