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Finding the Fourth Proportional to 470.87, 705.79 and 196.75

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Solution

The fourth proportional to 470.87, 705.79 and 196.75 is: 294.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.87 : 705.79 = 196.75 : x
  2. Step 2: Convert to fraction form
    470.87/705.79 = 196.75/x
  3. Step 3: Cross multiply
    470.87x = 705.79 × 196.75
  4. Step 4: Simplify right side
    470.87x = 138,864.18
  5. Step 5: Solve for x
    x = 138,864.18/470.87
  6. Step 6: Final answer
    x = 294.91

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