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Finding the Fourth Proportional to 470.23, 705.44 and 196.65

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Solution

The fourth proportional to 470.23, 705.44 and 196.65 is: 295.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.23 : 705.44 = 196.65 : x
  2. Step 2: Convert to fraction form
    470.23/705.44 = 196.65/x
  3. Step 3: Cross multiply
    470.23x = 705.44 × 196.65
  4. Step 4: Simplify right side
    470.23x = 138,725.27
  5. Step 5: Solve for x
    x = 138,725.27/470.23
  6. Step 6: Final answer
    x = 295.02

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