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Finding the Fourth Proportional to 538.29, 806.95 and 213.88

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Solution

The fourth proportional to 538.29, 806.95 and 213.88 is: 320.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.29 : 806.95 = 213.88 : x
  2. Step 2: Convert to fraction form
    538.29/806.95 = 213.88/x
  3. Step 3: Cross multiply
    538.29x = 806.95 × 213.88
  4. Step 4: Simplify right side
    538.29x = 172,590.47
  5. Step 5: Solve for x
    x = 172,590.47/538.29
  6. Step 6: Final answer
    x = 320.63

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