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Finding the Fourth Proportional to 638.28, 881.04 and 414.52

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Solution

The fourth proportional to 638.28, 881.04 and 414.52 is: 572.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.28 : 881.04 = 414.52 : x
  2. Step 2: Convert to fraction form
    638.28/881.04 = 414.52/x
  3. Step 3: Cross multiply
    638.28x = 881.04 × 414.52
  4. Step 4: Simplify right side
    638.28x = 365,208.70
  5. Step 5: Solve for x
    x = 365,208.70/638.28
  6. Step 6: Final answer
    x = 572.18

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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.