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Finding the Fourth Proportional to 392.12, 588.44 and 209.65

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Solution

The fourth proportional to 392.12, 588.44 and 209.65 is: 314.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.12 : 588.44 = 209.65 : x
  2. Step 2: Convert to fraction form
    392.12/588.44 = 209.65/x
  3. Step 3: Cross multiply
    392.12x = 588.44 × 209.65
  4. Step 4: Simplify right side
    392.12x = 123,366.45
  5. Step 5: Solve for x
    x = 123,366.45/392.12
  6. Step 6: Final answer
    x = 314.61

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