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Finding the Fourth Proportional to 646.38, 969.57 and 280.97

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Solution

The fourth proportional to 646.38, 969.57 and 280.97 is: 421.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.38 : 969.57 = 280.97 : x
  2. Step 2: Convert to fraction form
    646.38/969.57 = 280.97/x
  3. Step 3: Cross multiply
    646.38x = 969.57 × 280.97
  4. Step 4: Simplify right side
    646.38x = 272,418.87
  5. Step 5: Solve for x
    x = 272,418.87/646.38
  6. Step 6: Final answer
    x = 421.45

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