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Finding the Fourth Proportional to 878.67, 1,318.20 and 293.70

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Solution

The fourth proportional to 878.67, 1,318.20 and 293.70 is: 440.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.67 : 1,318.20 = 293.70 : x
  2. Step 2: Convert to fraction form
    878.67/1,318.20 = 293.70/x
  3. Step 3: Cross multiply
    878.67x = 1,318.20 × 293.70
  4. Step 4: Simplify right side
    878.67x = 387,155.34
  5. Step 5: Solve for x
    x = 387,155.34/878.67
  6. Step 6: Final answer
    x = 440.62

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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.