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Finding the Fourth Proportional to 396.45, 545.85 and 337.32

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Solution

The fourth proportional to 396.45, 545.85 and 337.32 is: 464.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.45 : 545.85 = 337.32 : x
  2. Step 2: Convert to fraction form
    396.45/545.85 = 337.32/x
  3. Step 3: Cross multiply
    396.45x = 545.85 × 337.32
  4. Step 4: Simplify right side
    396.45x = 184,126.12
  5. Step 5: Solve for x
    x = 184,126.12/396.45
  6. Step 6: Final answer
    x = 464.44

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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.