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Finding the Fourth Proportional to 490.43, 735.74 and 165.79

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Solution

The fourth proportional to 490.43, 735.74 and 165.79 is: 248.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.43 : 735.74 = 165.79 : x
  2. Step 2: Convert to fraction form
    490.43/735.74 = 165.79/x
  3. Step 3: Cross multiply
    490.43x = 735.74 × 165.79
  4. Step 4: Simplify right side
    490.43x = 121,973.83
  5. Step 5: Solve for x
    x = 121,973.83/490.43
  6. Step 6: Final answer
    x = 248.71

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