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Finding the Fourth Proportional to 409.01, 614.45 and 226.49

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Solution

The fourth proportional to 409.01, 614.45 and 226.49 is: 340.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.01 : 614.45 = 226.49 : x
  2. Step 2: Convert to fraction form
    409.01/614.45 = 226.49/x
  3. Step 3: Cross multiply
    409.01x = 614.45 × 226.49
  4. Step 4: Simplify right side
    409.01x = 139,164.27
  5. Step 5: Solve for x
    x = 139,164.27/409.01
  6. Step 6: Final answer
    x = 340.25

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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.