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Finding the Fourth Proportional to 878.56, 1,318.22 and 416.34

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Solution

The fourth proportional to 878.56, 1,318.22 and 416.34 is: 624.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.56 : 1,318.22 = 416.34 : x
  2. Step 2: Convert to fraction form
    878.56/1,318.22 = 416.34/x
  3. Step 3: Cross multiply
    878.56x = 1,318.22 × 416.34
  4. Step 4: Simplify right side
    878.56x = 548,830.96
  5. Step 5: Solve for x
    x = 548,830.96/878.56
  6. Step 6: Final answer
    x = 624.69

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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.