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Finding the Fourth Proportional to 409.45, 614.00 and 165.91

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Solution

The fourth proportional to 409.45, 614.00 and 165.91 is: 248.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.45 : 614.00 = 165.91 : x
  2. Step 2: Convert to fraction form
    409.45/614.00 = 165.91/x
  3. Step 3: Cross multiply
    409.45x = 614.00 × 165.91
  4. Step 4: Simplify right side
    409.45x = 101,864.84
  5. Step 5: Solve for x
    x = 101,864.84/409.45
  6. Step 6: Final answer
    x = 248.79

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