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Finding the Fourth Proportional to 396.52, 545.94 and 337.39

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Solution

The fourth proportional to 396.52, 545.94 and 337.39 is: 464.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.52 : 545.94 = 337.39 : x
  2. Step 2: Convert to fraction form
    396.52/545.94 = 337.39/x
  3. Step 3: Cross multiply
    396.52x = 545.94 × 337.39
  4. Step 4: Simplify right side
    396.52x = 184,193.33
  5. Step 5: Solve for x
    x = 184,193.33/396.52
  6. Step 6: Final answer
    x = 464.53

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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.