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Finding the Fourth Proportional to 410.19, 614.82 and 227.73

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Solution

The fourth proportional to 410.19, 614.82 and 227.73 is: 341.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.19 : 614.82 = 227.73 : x
  2. Step 2: Convert to fraction form
    410.19/614.82 = 227.73/x
  3. Step 3: Cross multiply
    410.19x = 614.82 × 227.73
  4. Step 4: Simplify right side
    410.19x = 140,012.96
  5. Step 5: Solve for x
    x = 140,012.96/410.19
  6. Step 6: Final answer
    x = 341.34

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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.