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Finding the Fourth Proportional to 396.76, 547.42 and 256.88

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Solution

The fourth proportional to 396.76, 547.42 and 256.88 is: 354.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.76 : 547.42 = 256.88 : x
  2. Step 2: Convert to fraction form
    396.76/547.42 = 256.88/x
  3. Step 3: Cross multiply
    396.76x = 547.42 × 256.88
  4. Step 4: Simplify right side
    396.76x = 140,621.25
  5. Step 5: Solve for x
    x = 140,621.25/396.76
  6. Step 6: Final answer
    x = 354.42

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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.