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Finding the Fourth Proportional to 423.20, 634.72 and 206.64

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Solution

The fourth proportional to 423.20, 634.72 and 206.64 is: 309.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.20 : 634.72 = 206.64 : x
  2. Step 2: Convert to fraction form
    423.20/634.72 = 206.64/x
  3. Step 3: Cross multiply
    423.20x = 634.72 × 206.64
  4. Step 4: Simplify right side
    423.20x = 131,158.54
  5. Step 5: Solve for x
    x = 131,158.54/423.20
  6. Step 6: Final answer
    x = 309.92

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