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Finding the Fourth Proportional to 472.91, 709.44 and 126.27

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Solution

The fourth proportional to 472.91, 709.44 and 126.27 is: 189.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.91 : 709.44 = 126.27 : x
  2. Step 2: Convert to fraction form
    472.91/709.44 = 126.27/x
  3. Step 3: Cross multiply
    472.91x = 709.44 × 126.27
  4. Step 4: Simplify right side
    472.91x = 89,583.81
  5. Step 5: Solve for x
    x = 89,583.81/472.91
  6. Step 6: Final answer
    x = 189.43

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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.