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Finding the Fourth Proportional to 636.96, 878.85 and 357.15

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Solution

The fourth proportional to 636.96, 878.85 and 357.15 is: 492.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    636.96 : 878.85 = 357.15 : x
  2. Step 2: Convert to fraction form
    636.96/878.85 = 357.15/x
  3. Step 3: Cross multiply
    636.96x = 878.85 × 357.15
  4. Step 4: Simplify right side
    636.96x = 313,881.28
  5. Step 5: Solve for x
    x = 313,881.28/636.96
  6. Step 6: Final answer
    x = 492.78

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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.