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Finding the Fourth Proportional to 717.47, 1,076.22 and 255.18

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Solution

The fourth proportional to 717.47, 1,076.22 and 255.18 is: 382.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.47 : 1,076.22 = 255.18 : x
  2. Step 2: Convert to fraction form
    717.47/1,076.22 = 255.18/x
  3. Step 3: Cross multiply
    717.47x = 1,076.22 × 255.18
  4. Step 4: Simplify right side
    717.47x = 274,629.82
  5. Step 5: Solve for x
    x = 274,629.82/717.47
  6. Step 6: Final answer
    x = 382.78

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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.