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Finding the Fourth Proportional to 537.88, 806.10 and 401.44

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Solution

The fourth proportional to 537.88, 806.10 and 401.44 is: 601.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.88 : 806.10 = 401.44 : x
  2. Step 2: Convert to fraction form
    537.88/806.10 = 401.44/x
  3. Step 3: Cross multiply
    537.88x = 806.10 × 401.44
  4. Step 4: Simplify right side
    537.88x = 323,600.78
  5. Step 5: Solve for x
    x = 323,600.78/537.88
  6. Step 6: Final answer
    x = 601.62

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