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Finding the Fourth Proportional to 410.44, 616.14 and 227.92

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Solution

The fourth proportional to 410.44, 616.14 and 227.92 is: 342.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.44 : 616.14 = 227.92 : x
  2. Step 2: Convert to fraction form
    410.44/616.14 = 227.92/x
  3. Step 3: Cross multiply
    410.44x = 616.14 × 227.92
  4. Step 4: Simplify right side
    410.44x = 140,430.63
  5. Step 5: Solve for x
    x = 140,430.63/410.44
  6. Step 6: Final answer
    x = 342.15

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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.