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Finding the Fourth Proportional to 636.18, 878.22 and 462.84

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Solution

The fourth proportional to 636.18, 878.22 and 462.84 is: 638.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    636.18 : 878.22 = 462.84 : x
  2. Step 2: Convert to fraction form
    636.18/878.22 = 462.84/x
  3. Step 3: Cross multiply
    636.18x = 878.22 × 462.84
  4. Step 4: Simplify right side
    636.18x = 406,475.34
  5. Step 5: Solve for x
    x = 406,475.34/636.18
  6. Step 6: Final answer
    x = 638.93

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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.