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Finding the Fourth Proportional to 396.96, 547.72 and 257.03

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Solution

The fourth proportional to 396.96, 547.72 and 257.03 is: 354.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.96 : 547.72 = 257.03 : x
  2. Step 2: Convert to fraction form
    396.96/547.72 = 257.03/x
  3. Step 3: Cross multiply
    396.96x = 547.72 × 257.03
  4. Step 4: Simplify right side
    396.96x = 140,780.47
  5. Step 5: Solve for x
    x = 140,780.47/396.96
  6. Step 6: Final answer
    x = 354.65

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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.