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Finding the Fourth Proportional to 408.58, 612.80 and 165.28

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Solution

The fourth proportional to 408.58, 612.80 and 165.28 is: 247.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.58 : 612.80 = 165.28 : x
  2. Step 2: Convert to fraction form
    408.58/612.80 = 165.28/x
  3. Step 3: Cross multiply
    408.58x = 612.80 × 165.28
  4. Step 4: Simplify right side
    408.58x = 101,283.58
  5. Step 5: Solve for x
    x = 101,283.58/408.58
  6. Step 6: Final answer
    x = 247.89

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