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Finding the Fourth Proportional to 878.25, 1,317.57 and 301.14

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Solution

The fourth proportional to 878.25, 1,317.57 and 301.14 is: 451.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.25 : 1,317.57 = 301.14 : x
  2. Step 2: Convert to fraction form
    878.25/1,317.57 = 301.14/x
  3. Step 3: Cross multiply
    878.25x = 1,317.57 × 301.14
  4. Step 4: Simplify right side
    878.25x = 396,773.03
  5. Step 5: Solve for x
    x = 396,773.03/878.25
  6. Step 6: Final answer
    x = 451.78

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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.