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Finding the Fourth Proportional to 646.27, 969.38 and 213.42

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Solution

The fourth proportional to 646.27, 969.38 and 213.42 is: 320.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.27 : 969.38 = 213.42 : x
  2. Step 2: Convert to fraction form
    646.27/969.38 = 213.42/x
  3. Step 3: Cross multiply
    646.27x = 969.38 × 213.42
  4. Step 4: Simplify right side
    646.27x = 206,885.08
  5. Step 5: Solve for x
    x = 206,885.08/646.27
  6. Step 6: Final answer
    x = 320.12

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