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Finding the Fourth Proportional to 537.74, 806.76 and 263.85

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Solution

The fourth proportional to 537.74, 806.76 and 263.85 is: 395.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.74 : 806.76 = 263.85 : x
  2. Step 2: Convert to fraction form
    537.74/806.76 = 263.85/x
  3. Step 3: Cross multiply
    537.74x = 806.76 × 263.85
  4. Step 4: Simplify right side
    537.74x = 212,859.59
  5. Step 5: Solve for x
    x = 212,859.59/537.74
  6. Step 6: Final answer
    x = 395.84

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