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Finding the Fourth Proportional to 472.19, 650.11 and 461.87

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Solution

The fourth proportional to 472.19, 650.11 and 461.87 is: 635.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.19 : 650.11 = 461.87 : x
  2. Step 2: Convert to fraction form
    472.19/650.11 = 461.87/x
  3. Step 3: Cross multiply
    472.19x = 650.11 × 461.87
  4. Step 4: Simplify right side
    472.19x = 300,260.75
  5. Step 5: Solve for x
    x = 300,260.75/472.19
  6. Step 6: Final answer
    x = 635.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.