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Finding the Fourth Proportional to 472.85, 709.31 and 126.18

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Solution

The fourth proportional to 472.85, 709.31 and 126.18 is: 189.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.85 : 709.31 = 126.18 : x
  2. Step 2: Convert to fraction form
    472.85/709.31 = 126.18/x
  3. Step 3: Cross multiply
    472.85x = 709.31 × 126.18
  4. Step 4: Simplify right side
    472.85x = 89,500.74
  5. Step 5: Solve for x
    x = 89,500.74/472.85
  6. Step 6: Final answer
    x = 189.28

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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.