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Finding the Fourth Proportional to 367.11, 506.84 and 282.96

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Solution

The fourth proportional to 367.11, 506.84 and 282.96 is: 390.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.11 : 506.84 = 282.96 : x
  2. Step 2: Convert to fraction form
    367.11/506.84 = 282.96/x
  3. Step 3: Cross multiply
    367.11x = 506.84 × 282.96
  4. Step 4: Simplify right side
    367.11x = 143,414.03
  5. Step 5: Solve for x
    x = 143,414.03/367.11
  6. Step 6: Final answer
    x = 390.66

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