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Finding the Fourth Proportional to 537.14, 805.90 and 263.20

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Solution

The fourth proportional to 537.14, 805.90 and 263.20 is: 394.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.14 : 805.90 = 263.20 : x
  2. Step 2: Convert to fraction form
    537.14/805.90 = 263.20/x
  3. Step 3: Cross multiply
    537.14x = 805.90 × 263.20
  4. Step 4: Simplify right side
    537.14x = 212,112.88
  5. Step 5: Solve for x
    x = 212,112.88/537.14
  6. Step 6: Final answer
    x = 394.89

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