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Finding the Fourth Proportional to 570.82, 856.26 and 205.78

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Solution

The fourth proportional to 570.82, 856.26 and 205.78 is: 308.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.82 : 856.26 = 205.78 : x
  2. Step 2: Convert to fraction form
    570.82/856.26 = 205.78/x
  3. Step 3: Cross multiply
    570.82x = 856.26 × 205.78
  4. Step 4: Simplify right side
    570.82x = 176,201.18
  5. Step 5: Solve for x
    x = 176,201.18/570.82
  6. Step 6: Final answer
    x = 308.68

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