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Finding the Fourth Proportional to 515.69, 773.57 and 227.13

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Solution

The fourth proportional to 515.69, 773.57 and 227.13 is: 340.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.69 : 773.57 = 227.13 : x
  2. Step 2: Convert to fraction form
    515.69/773.57 = 227.13/x
  3. Step 3: Cross multiply
    515.69x = 773.57 × 227.13
  4. Step 4: Simplify right side
    515.69x = 175,700.95
  5. Step 5: Solve for x
    x = 175,700.95/515.69
  6. Step 6: Final answer
    x = 340.71

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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.