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Finding the Fourth Proportional to 518.50, 777.78 and 229.78

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Solution

The fourth proportional to 518.50, 777.78 and 229.78 is: 344.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.50 : 777.78 = 229.78 : x
  2. Step 2: Convert to fraction form
    518.50/777.78 = 229.78/x
  3. Step 3: Cross multiply
    518.50x = 777.78 × 229.78
  4. Step 4: Simplify right side
    518.50x = 178,718.29
  5. Step 5: Solve for x
    x = 178,718.29/518.50
  6. Step 6: Final answer
    x = 344.68

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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.