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Finding the Fourth Proportional to 461.91, 637.46 and 252.10

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Solution

The fourth proportional to 461.91, 637.46 and 252.10 is: 347.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.91 : 637.46 = 252.10 : x
  2. Step 2: Convert to fraction form
    461.91/637.46 = 252.10/x
  3. Step 3: Cross multiply
    461.91x = 637.46 × 252.10
  4. Step 4: Simplify right side
    461.91x = 160,703.67
  5. Step 5: Solve for x
    x = 160,703.67/461.91
  6. Step 6: Final answer
    x = 347.91

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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.