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Finding the Fourth Proportional to 396.20, 545.59 and 271.73

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Solution

The fourth proportional to 396.20, 545.59 and 271.73 is: 374.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.20 : 545.59 = 271.73 : x
  2. Step 2: Convert to fraction form
    396.20/545.59 = 271.73/x
  3. Step 3: Cross multiply
    396.20x = 545.59 × 271.73
  4. Step 4: Simplify right side
    396.20x = 148,253.17
  5. Step 5: Solve for x
    x = 148,253.17/396.20
  6. Step 6: Final answer
    x = 374.19

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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.