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Finding the Fourth Proportional to 470.42, 705.66 and 196.52

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Solution

The fourth proportional to 470.42, 705.66 and 196.52 is: 294.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.42 : 705.66 = 196.52 : x
  2. Step 2: Convert to fraction form
    470.42/705.66 = 196.52/x
  3. Step 3: Cross multiply
    470.42x = 705.66 × 196.52
  4. Step 4: Simplify right side
    470.42x = 138,676.30
  5. Step 5: Solve for x
    x = 138,676.30/470.42
  6. Step 6: Final answer
    x = 294.79

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