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Finding the Fourth Proportional to 461.99, 637.55 and 252.17

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Solution

The fourth proportional to 461.99, 637.55 and 252.17 is: 347.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.99 : 637.55 = 252.17 : x
  2. Step 2: Convert to fraction form
    461.99/637.55 = 252.17/x
  3. Step 3: Cross multiply
    461.99x = 637.55 × 252.17
  4. Step 4: Simplify right side
    461.99x = 160,769.72
  5. Step 5: Solve for x
    x = 160,769.72/461.99
  6. Step 6: Final answer
    x = 347.99

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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.