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Finding the Fourth Proportional to 515.88, 773.64 and 227.24

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Solution

The fourth proportional to 515.88, 773.64 and 227.24 is: 340.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.88 : 773.64 = 227.24 : x
  2. Step 2: Convert to fraction form
    515.88/773.64 = 227.24/x
  3. Step 3: Cross multiply
    515.88x = 773.64 × 227.24
  4. Step 4: Simplify right side
    515.88x = 175,801.95
  5. Step 5: Solve for x
    x = 175,801.95/515.88
  6. Step 6: Final answer
    x = 340.78

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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.