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Finding the Fourth Proportional to 574.92, 862.56 and 209.76

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Solution

The fourth proportional to 574.92, 862.56 and 209.76 is: 314.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.92 : 862.56 = 209.76 : x
  2. Step 2: Convert to fraction form
    574.92/862.56 = 209.76/x
  3. Step 3: Cross multiply
    574.92x = 862.56 × 209.76
  4. Step 4: Simplify right side
    574.92x = 180,930.59
  5. Step 5: Solve for x
    x = 180,930.59/574.92
  6. Step 6: Final answer
    x = 314.71

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