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Finding the Fourth Proportional to 509.93, 764.97 and 180.80

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Solution

The fourth proportional to 509.93, 764.97 and 180.80 is: 271.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.93 : 764.97 = 180.80 : x
  2. Step 2: Convert to fraction form
    509.93/764.97 = 180.80/x
  3. Step 3: Cross multiply
    509.93x = 764.97 × 180.80
  4. Step 4: Simplify right side
    509.93x = 138,306.58
  5. Step 5: Solve for x
    x = 138,306.58/509.93
  6. Step 6: Final answer
    x = 271.23

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