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Finding the Fourth Proportional to 323.06, 483.80 and 257.60

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Solution

The fourth proportional to 323.06, 483.80 and 257.60 is: 385.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.06 : 483.80 = 257.60 : x
  2. Step 2: Convert to fraction form
    323.06/483.80 = 257.60/x
  3. Step 3: Cross multiply
    323.06x = 483.80 × 257.60
  4. Step 4: Simplify right side
    323.06x = 124,626.80
  5. Step 5: Solve for x
    x = 124,626.80/323.06
  6. Step 6: Final answer
    x = 385.78

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