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Finding the Fourth Proportional to 506.82, 759.96 and 275.16

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Solution

The fourth proportional to 506.82, 759.96 and 275.16 is: 412.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.82 : 759.96 = 275.16 : x
  2. Step 2: Convert to fraction form
    506.82/759.96 = 275.16/x
  3. Step 3: Cross multiply
    506.82x = 759.96 × 275.16
  4. Step 4: Simplify right side
    506.82x = 209,110.59
  5. Step 5: Solve for x
    x = 209,110.59/506.82
  6. Step 6: Final answer
    x = 412.59

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