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Finding the Fourth Proportional to 878.57, 1,317.84 and 301.43

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Solution

The fourth proportional to 878.57, 1,317.84 and 301.43 is: 452.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.57 : 1,317.84 = 301.43 : x
  2. Step 2: Convert to fraction form
    878.57/1,317.84 = 301.43/x
  3. Step 3: Cross multiply
    878.57x = 1,317.84 × 301.43
  4. Step 4: Simplify right side
    878.57x = 397,236.51
  5. Step 5: Solve for x
    x = 397,236.51/878.57
  6. Step 6: Final answer
    x = 452.14

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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.