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Finding the Fourth Proportional to 636.68, 878.34 and 371.10

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Solution

The fourth proportional to 636.68, 878.34 and 371.10 is: 511.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    636.68 : 878.34 = 371.10 : x
  2. Step 2: Convert to fraction form
    636.68/878.34 = 371.10/x
  3. Step 3: Cross multiply
    636.68x = 878.34 × 371.10
  4. Step 4: Simplify right side
    636.68x = 325,951.97
  5. Step 5: Solve for x
    x = 325,951.97/636.68
  6. Step 6: Final answer
    x = 511.96

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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.