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Finding the Fourth Proportional to 518.78, 777.76 and 229.61

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Solution

The fourth proportional to 518.78, 777.76 and 229.61 is: 344.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.78 : 777.76 = 229.61 : x
  2. Step 2: Convert to fraction form
    518.78/777.76 = 229.61/x
  3. Step 3: Cross multiply
    518.78x = 777.76 × 229.61
  4. Step 4: Simplify right side
    518.78x = 178,581.47
  5. Step 5: Solve for x
    x = 178,581.47/518.78
  6. Step 6: Final answer
    x = 344.23

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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.