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Finding the Fourth Proportional to 571.06, 856.28 and 205.78

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Solution

The fourth proportional to 571.06, 856.28 and 205.78 is: 308.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.06 : 856.28 = 205.78 : x
  2. Step 2: Convert to fraction form
    571.06/856.28 = 205.78/x
  3. Step 3: Cross multiply
    571.06x = 856.28 × 205.78
  4. Step 4: Simplify right side
    571.06x = 176,205.30
  5. Step 5: Solve for x
    x = 176,205.30/571.06
  6. Step 6: Final answer
    x = 308.56

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