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Finding the Fourth Proportional to 517.78, 776.40 and 229.24

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Solution

The fourth proportional to 517.78, 776.40 and 229.24 is: 343.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.78 : 776.40 = 229.24 : x
  2. Step 2: Convert to fraction form
    517.78/776.40 = 229.24/x
  3. Step 3: Cross multiply
    517.78x = 776.40 × 229.24
  4. Step 4: Simplify right side
    517.78x = 177,981.94
  5. Step 5: Solve for x
    x = 177,981.94/517.78
  6. Step 6: Final answer
    x = 343.74

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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.