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Finding the Fourth Proportional to 327.24, 489.95 and 205.20

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Solution

The fourth proportional to 327.24, 489.95 and 205.20 is: 307.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.24 : 489.95 = 205.20 : x
  2. Step 2: Convert to fraction form
    327.24/489.95 = 205.20/x
  3. Step 3: Cross multiply
    327.24x = 489.95 × 205.20
  4. Step 4: Simplify right side
    327.24x = 100,537.74
  5. Step 5: Solve for x
    x = 100,537.74/327.24
  6. Step 6: Final answer
    x = 307.23

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