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Finding the Fourth Proportional to 517.96, 776.76 and 229.24

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Solution

The fourth proportional to 517.96, 776.76 and 229.24 is: 343.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.96 : 776.76 = 229.24 : x
  2. Step 2: Convert to fraction form
    517.96/776.76 = 229.24/x
  3. Step 3: Cross multiply
    517.96x = 776.76 × 229.24
  4. Step 4: Simplify right side
    517.96x = 178,064.46
  5. Step 5: Solve for x
    x = 178,064.46/517.96
  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.