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Finding the Fourth Proportional to 636.76, 878 and 415.40

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Solution

The fourth proportional to 636.76, 878 and 415.40 is: 572.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    636.76 : 878 = 415.40 : x
  2. Step 2: Convert to fraction form
    636.76/878 = 415.40/x
  3. Step 3: Cross multiply
    636.76x = 878 × 415.40
  4. Step 4: Simplify right side
    636.76x = 364,721.20
  5. Step 5: Solve for x
    x = 364,721.20/636.76
  6. Step 6: Final answer
    x = 572.78

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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.