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Finding the Fourth Proportional to 443.27, 664.43 and 422.83

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Solution

The fourth proportional to 443.27, 664.43 and 422.83 is: 633.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.27 : 664.43 = 422.83 : x
  2. Step 2: Convert to fraction form
    443.27/664.43 = 422.83/x
  3. Step 3: Cross multiply
    443.27x = 664.43 × 422.83
  4. Step 4: Simplify right side
    443.27x = 280,937.16
  5. Step 5: Solve for x
    x = 280,937.16/443.27
  6. Step 6: Final answer
    x = 633.78

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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.