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Finding the Fourth Proportional to 636.77, 878.99 and 462.62

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Solution

The fourth proportional to 636.77, 878.99 and 462.62 is: 638.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    636.77 : 878.99 = 462.62 : x
  2. Step 2: Convert to fraction form
    636.77/878.99 = 462.62/x
  3. Step 3: Cross multiply
    636.77x = 878.99 × 462.62
  4. Step 4: Simplify right side
    636.77x = 406,631.65
  5. Step 5: Solve for x
    x = 406,631.65/636.77
  6. Step 6: Final answer
    x = 638.59

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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.