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Finding the Fourth Proportional to 539.52, 809.24 and 214.96

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Solution

The fourth proportional to 539.52, 809.24 and 214.96 is: 322.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.52 : 809.24 = 214.96 : x
  2. Step 2: Convert to fraction form
    539.52/809.24 = 214.96/x
  3. Step 3: Cross multiply
    539.52x = 809.24 × 214.96
  4. Step 4: Simplify right side
    539.52x = 173,954.23
  5. Step 5: Solve for x
    x = 173,954.23/539.52
  6. Step 6: Final answer
    x = 322.42

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