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Finding the Fourth Proportional to 409.65, 614.37 and 224.46

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Solution

The fourth proportional to 409.65, 614.37 and 224.46 is: 336.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.65 : 614.37 = 224.46 : x
  2. Step 2: Convert to fraction form
    409.65/614.37 = 224.46/x
  3. Step 3: Cross multiply
    409.65x = 614.37 × 224.46
  4. Step 4: Simplify right side
    409.65x = 137,901.49
  5. Step 5: Solve for x
    x = 137,901.49/409.65
  6. Step 6: Final answer
    x = 336.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.