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Finding the Fourth Proportional to 538.92, 808.68 and 214.56

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Solution

The fourth proportional to 538.92, 808.68 and 214.56 is: 321.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.92 : 808.68 = 214.56 : x
  2. Step 2: Convert to fraction form
    538.92/808.68 = 214.56/x
  3. Step 3: Cross multiply
    538.92x = 808.68 × 214.56
  4. Step 4: Simplify right side
    538.92x = 173,510.38
  5. Step 5: Solve for x
    x = 173,510.38/538.92
  6. Step 6: Final answer
    x = 321.96

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