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Finding the Fourth Proportional to 517.66, 776.51 and 229.12

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Solution

The fourth proportional to 517.66, 776.51 and 229.12 is: 343.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.66 : 776.51 = 229.12 : x
  2. Step 2: Convert to fraction form
    517.66/776.51 = 229.12/x
  3. Step 3: Cross multiply
    517.66x = 776.51 × 229.12
  4. Step 4: Simplify right side
    517.66x = 177,913.97
  5. Step 5: Solve for x
    x = 177,913.97/517.66
  6. Step 6: Final answer
    x = 343.69

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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.