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Finding the Fourth Proportional to 570.96, 856.28 and 205.75

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Solution

The fourth proportional to 570.96, 856.28 and 205.75 is: 308.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.96 : 856.28 = 205.75 : x
  2. Step 2: Convert to fraction form
    570.96/856.28 = 205.75/x
  3. Step 3: Cross multiply
    570.96x = 856.28 × 205.75
  4. Step 4: Simplify right side
    570.96x = 176,177.98
  5. Step 5: Solve for x
    x = 176,177.98/570.96
  6. Step 6: Final answer
    x = 308.56

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