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Finding the Fourth Proportional to 636.52, 878.02 and 461.56

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Solution

The fourth proportional to 636.52, 878.02 and 461.56 is: 636.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    636.52 : 878.02 = 461.56 : x
  2. Step 2: Convert to fraction form
    636.52/878.02 = 461.56/x
  3. Step 3: Cross multiply
    636.52x = 878.02 × 461.56
  4. Step 4: Simplify right side
    636.52x = 405,258.91
  5. Step 5: Solve for x
    x = 405,258.91/636.52
  6. Step 6: Final answer
    x = 636.68

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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.