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Finding the Fourth Proportional to 337.73, 465.83 and 206.80

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Solution

The fourth proportional to 337.73, 465.83 and 206.80 is: 285.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.73 : 465.83 = 206.80 : x
  2. Step 2: Convert to fraction form
    337.73/465.83 = 206.80/x
  3. Step 3: Cross multiply
    337.73x = 465.83 × 206.80
  4. Step 4: Simplify right side
    337.73x = 96,335.13
  5. Step 5: Solve for x
    x = 96,335.13/337.73
  6. Step 6: Final answer
    x = 285.24

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