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Finding the Fourth Proportional to 636.75, 878.65 and 356.97

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Solution

The fourth proportional to 636.75, 878.65 and 356.97 is: 492.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    636.75 : 878.65 = 356.97 : x
  2. Step 2: Convert to fraction form
    636.75/878.65 = 356.97/x
  3. Step 3: Cross multiply
    636.75x = 878.65 × 356.97
  4. Step 4: Simplify right side
    636.75x = 313,651.69
  5. Step 5: Solve for x
    x = 313,651.69/636.75
  6. Step 6: Final answer
    x = 492.58

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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.