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Finding the Fourth Proportional to 636.93, 878.45 and 470.88

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Solution

The fourth proportional to 636.93, 878.45 and 470.88 is: 649.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    636.93 : 878.45 = 470.88 : x
  2. Step 2: Convert to fraction form
    636.93/878.45 = 470.88/x
  3. Step 3: Cross multiply
    636.93x = 878.45 × 470.88
  4. Step 4: Simplify right side
    636.93x = 413,642.18
  5. Step 5: Solve for x
    x = 413,642.18/636.93
  6. Step 6: Final answer
    x = 649.43

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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.