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Finding the Fourth Proportional to 409.85, 614.96 and 204.43

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Solution

The fourth proportional to 409.85, 614.96 and 204.43 is: 306.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.85 : 614.96 = 204.43 : x
  2. Step 2: Convert to fraction form
    409.85/614.96 = 204.43/x
  3. Step 3: Cross multiply
    409.85x = 614.96 × 204.43
  4. Step 4: Simplify right side
    409.85x = 125,716.78
  5. Step 5: Solve for x
    x = 125,716.78/409.85
  6. Step 6: Final answer
    x = 306.74

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