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Finding the Fourth Proportional to 392.91, 589.20 and 197.84

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Solution

The fourth proportional to 392.91, 589.20 and 197.84 is: 296.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.91 : 589.20 = 197.84 : x
  2. Step 2: Convert to fraction form
    392.91/589.20 = 197.84/x
  3. Step 3: Cross multiply
    392.91x = 589.20 × 197.84
  4. Step 4: Simplify right side
    392.91x = 116,564.38
  5. Step 5: Solve for x
    x = 116,564.38/392.91
  6. Step 6: Final answer
    x = 296.67

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