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Finding the Fourth Proportional to 636.58, 878.79 and 462.34

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Solution

The fourth proportional to 636.58, 878.79 and 462.34 is: 638.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    636.58 : 878.79 = 462.34 : x
  2. Step 2: Convert to fraction form
    636.58/878.79 = 462.34/x
  3. Step 3: Cross multiply
    636.58x = 878.79 × 462.34
  4. Step 4: Simplify right side
    636.58x = 406,299.77
  5. Step 5: Solve for x
    x = 406,299.77/636.58
  6. Step 6: Final answer
    x = 638.25

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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.