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Finding the Fourth Proportional to 538.22, 806.71 and 229.88

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Solution

The fourth proportional to 538.22, 806.71 and 229.88 is: 344.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.22 : 806.71 = 229.88 : x
  2. Step 2: Convert to fraction form
    538.22/806.71 = 229.88/x
  3. Step 3: Cross multiply
    538.22x = 806.71 × 229.88
  4. Step 4: Simplify right side
    538.22x = 185,446.49
  5. Step 5: Solve for x
    x = 185,446.49/538.22
  6. Step 6: Final answer
    x = 344.56

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