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Finding the Fourth Proportional to 517.89, 777.05 and 229.13

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Solution

The fourth proportional to 517.89, 777.05 and 229.13 is: 343.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.89 : 777.05 = 229.13 : x
  2. Step 2: Convert to fraction form
    517.89/777.05 = 229.13/x
  3. Step 3: Cross multiply
    517.89x = 777.05 × 229.13
  4. Step 4: Simplify right side
    517.89x = 178,040.44
  5. Step 5: Solve for x
    x = 178,040.44/517.89
  6. Step 6: Final answer
    x = 343.78

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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.