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Finding the Fourth Proportional to 392.57, 589.02 and 197.75

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Solution

The fourth proportional to 392.57, 589.02 and 197.75 is: 296.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.57 : 589.02 = 197.75 : x
  2. Step 2: Convert to fraction form
    392.57/589.02 = 197.75/x
  3. Step 3: Cross multiply
    392.57x = 589.02 × 197.75
  4. Step 4: Simplify right side
    392.57x = 116,478.71
  5. Step 5: Solve for x
    x = 116,478.71/392.57
  6. Step 6: Final answer
    x = 296.71

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