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Finding the Fourth Proportional to 392.08, 588.48 and 199.84

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Solution

The fourth proportional to 392.08, 588.48 and 199.84 is: 299.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.08 : 588.48 = 199.84 : x
  2. Step 2: Convert to fraction form
    392.08/588.48 = 199.84/x
  3. Step 3: Cross multiply
    392.08x = 588.48 × 199.84
  4. Step 4: Simplify right side
    392.08x = 117,601.84
  5. Step 5: Solve for x
    x = 117,601.84/392.08
  6. Step 6: Final answer
    x = 299.94

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