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Finding the Fourth Proportional to 537.73, 806.08 and 405.75

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Solution

The fourth proportional to 537.73, 806.08 and 405.75 is: 608.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.73 : 806.08 = 405.75 : x
  2. Step 2: Convert to fraction form
    537.73/806.08 = 405.75/x
  3. Step 3: Cross multiply
    537.73x = 806.08 × 405.75
  4. Step 4: Simplify right side
    537.73x = 327,064.94
  5. Step 5: Solve for x
    x = 327,064.94/537.73
  6. Step 6: Final answer
    x = 608.24

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