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Finding the Fourth Proportional to 461.92, 637.44 and 252.10

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Solution

The fourth proportional to 461.92, 637.44 and 252.10 is: 347.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.92 : 637.44 = 252.10 : x
  2. Step 2: Convert to fraction form
    461.92/637.44 = 252.10/x
  3. Step 3: Cross multiply
    461.92x = 637.44 × 252.10
  4. Step 4: Simplify right side
    461.92x = 160,698.62
  5. Step 5: Solve for x
    x = 160,698.62/461.92
  6. Step 6: Final answer
    x = 347.89

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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.