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Finding the Fourth Proportional to 636.48, 878.22 and 387.77

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Solution

The fourth proportional to 636.48, 878.22 and 387.77 is: 535.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    636.48 : 878.22 = 387.77 : x
  2. Step 2: Convert to fraction form
    636.48/878.22 = 387.77/x
  3. Step 3: Cross multiply
    636.48x = 878.22 × 387.77
  4. Step 4: Simplify right side
    636.48x = 340,542.98
  5. Step 5: Solve for x
    x = 340,542.98/636.48
  6. Step 6: Final answer
    x = 535.04

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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.