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Finding the Fourth Proportional to 410.27, 614.43 and 227.21

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Solution

The fourth proportional to 410.27, 614.43 and 227.21 is: 340.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.27 : 614.43 = 227.21 : x
  2. Step 2: Convert to fraction form
    410.27/614.43 = 227.21/x
  3. Step 3: Cross multiply
    410.27x = 614.43 × 227.21
  4. Step 4: Simplify right side
    410.27x = 139,606.18
  5. Step 5: Solve for x
    x = 139,606.18/410.27
  6. Step 6: Final answer
    x = 340.28

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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.