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Finding the Fourth Proportional to 474.57, 711.85 and 281.61

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Solution

The fourth proportional to 474.57, 711.85 and 281.61 is: 422.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.57 : 711.85 = 281.61 : x
  2. Step 2: Convert to fraction form
    474.57/711.85 = 281.61/x
  3. Step 3: Cross multiply
    474.57x = 711.85 × 281.61
  4. Step 4: Simplify right side
    474.57x = 200,464.08
  5. Step 5: Solve for x
    x = 200,464.08/474.57
  6. Step 6: Final answer
    x = 422.41

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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.