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Finding the Fourth Proportional to 515.38, 773.34 and 226.75

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Solution

The fourth proportional to 515.38, 773.34 and 226.75 is: 340.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.38 : 773.34 = 226.75 : x
  2. Step 2: Convert to fraction form
    515.38/773.34 = 226.75/x
  3. Step 3: Cross multiply
    515.38x = 773.34 × 226.75
  4. Step 4: Simplify right side
    515.38x = 175,354.85
  5. Step 5: Solve for x
    x = 175,354.85/515.38
  6. Step 6: Final answer
    x = 340.24

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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.