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Finding the Fourth Proportional to 461.82, 637.29 and 251.99

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Solution

The fourth proportional to 461.82, 637.29 and 251.99 is: 347.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.82 : 637.29 = 251.99 : x
  2. Step 2: Convert to fraction form
    461.82/637.29 = 251.99/x
  3. Step 3: Cross multiply
    461.82x = 637.29 × 251.99
  4. Step 4: Simplify right side
    461.82x = 160,587.85
  5. Step 5: Solve for x
    x = 160,587.85/461.82
  6. Step 6: Final answer
    x = 347.73

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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.