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Finding the Fourth Proportional to 537.46, 806.28 and 212.92

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Solution

The fourth proportional to 537.46, 806.28 and 212.92 is: 319.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.46 : 806.28 = 212.92 : x
  2. Step 2: Convert to fraction form
    537.46/806.28 = 212.92/x
  3. Step 3: Cross multiply
    537.46x = 806.28 × 212.92
  4. Step 4: Simplify right side
    537.46x = 171,673.14
  5. Step 5: Solve for x
    x = 171,673.14/537.46
  6. Step 6: Final answer
    x = 319.42

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