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Finding the Fourth Proportional to 538.62, 807.93 and 213.99

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Solution

The fourth proportional to 538.62, 807.93 and 213.99 is: 320.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.62 : 807.93 = 213.99 : x
  2. Step 2: Convert to fraction form
    538.62/807.93 = 213.99/x
  3. Step 3: Cross multiply
    538.62x = 807.93 × 213.99
  4. Step 4: Simplify right side
    538.62x = 172,885.91
  5. Step 5: Solve for x
    x = 172,885.91/538.62
  6. Step 6: Final answer
    x = 320.98

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