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Finding the Fourth Proportional to 878.86, 1,318.25 and 331.00

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Solution

The fourth proportional to 878.86, 1,318.25 and 331.00 is: 496.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.86 : 1,318.25 = 331.00 : x
  2. Step 2: Convert to fraction form
    878.86/1,318.25 = 331.00/x
  3. Step 3: Cross multiply
    878.86x = 1,318.25 × 331.00
  4. Step 4: Simplify right side
    878.86x = 436,335.80
  5. Step 5: Solve for x
    x = 436,335.80/878.86
  6. Step 6: Final answer
    x = 496.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.