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Finding the Fourth Proportional to 518.33, 777.05 and 225.61

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Solution

The fourth proportional to 518.33, 777.05 and 225.61 is: 338.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.33 : 777.05 = 225.61 : x
  2. Step 2: Convert to fraction form
    518.33/777.05 = 225.61/x
  3. Step 3: Cross multiply
    518.33x = 777.05 × 225.61
  4. Step 4: Simplify right side
    518.33x = 175,306.62
  5. Step 5: Solve for x
    x = 175,306.62/518.33
  6. Step 6: Final answer
    x = 338.22

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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.