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Finding the Fourth Proportional to 409.24, 614.06 and 226.73

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Solution

The fourth proportional to 409.24, 614.06 and 226.73 is: 340.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.24 : 614.06 = 226.73 : x
  2. Step 2: Convert to fraction form
    409.24/614.06 = 226.73/x
  3. Step 3: Cross multiply
    409.24x = 614.06 × 226.73
  4. Step 4: Simplify right side
    409.24x = 139,225.82
  5. Step 5: Solve for x
    x = 139,225.82/409.24
  6. Step 6: Final answer
    x = 340.21

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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.