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Finding the Fourth Proportional to 450.38, 674.97 and 396.92

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Solution

The fourth proportional to 450.38, 674.97 and 396.92 is: 594.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.38 : 674.97 = 396.92 : x
  2. Step 2: Convert to fraction form
    450.38/674.97 = 396.92/x
  3. Step 3: Cross multiply
    450.38x = 674.97 × 396.92
  4. Step 4: Simplify right side
    450.38x = 267,909.29
  5. Step 5: Solve for x
    x = 267,909.29/450.38
  6. Step 6: Final answer
    x = 594.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.