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Finding the Fourth Proportional to 470.97, 706.58 and 178.48

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Solution

The fourth proportional to 470.97, 706.58 and 178.48 is: 267.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.97 : 706.58 = 178.48 : x
  2. Step 2: Convert to fraction form
    470.97/706.58 = 178.48/x
  3. Step 3: Cross multiply
    470.97x = 706.58 × 178.48
  4. Step 4: Simplify right side
    470.97x = 126,110.40
  5. Step 5: Solve for x
    x = 126,110.40/470.97
  6. Step 6: Final answer
    x = 267.77

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