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Finding the Fourth Proportional to 470.60, 705.48 and 196.40

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Solution

The fourth proportional to 470.60, 705.48 and 196.40 is: 294.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.60 : 705.48 = 196.40 : x
  2. Step 2: Convert to fraction form
    470.60/705.48 = 196.40/x
  3. Step 3: Cross multiply
    470.60x = 705.48 × 196.40
  4. Step 4: Simplify right side
    470.60x = 138,556.27
  5. Step 5: Solve for x
    x = 138,556.27/470.60
  6. Step 6: Final answer
    x = 294.42

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