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Finding the Fourth Proportional to 496.98, 745.92 and 280.71

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Solution

The fourth proportional to 496.98, 745.92 and 280.71 is: 421.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.98 : 745.92 = 280.71 : x
  2. Step 2: Convert to fraction form
    496.98/745.92 = 280.71/x
  3. Step 3: Cross multiply
    496.98x = 745.92 × 280.71
  4. Step 4: Simplify right side
    496.98x = 209,387.20
  5. Step 5: Solve for x
    x = 209,387.20/496.98
  6. Step 6: Final answer
    x = 421.32

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