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Finding the Fourth Proportional to 878.48, 1,318.14 and 416

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Solution

The fourth proportional to 878.48, 1,318.14 and 416 is: 624.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.48 : 1,318.14 = 416 : x
  2. Step 2: Convert to fraction form
    878.48/1,318.14 = 416/x
  3. Step 3: Cross multiply
    878.48x = 1,318.14 × 416
  4. Step 4: Simplify right side
    878.48x = 548,346.24
  5. Step 5: Solve for x
    x = 548,346.24/878.48
  6. Step 6: Final answer
    x = 624.20

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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.