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Finding the Fourth Proportional to 509.91, 764.73 and 185.28

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Solution

The fourth proportional to 509.91, 764.73 and 185.28 is: 277.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.91 : 764.73 = 185.28 : x
  2. Step 2: Convert to fraction form
    509.91/764.73 = 185.28/x
  3. Step 3: Cross multiply
    509.91x = 764.73 × 185.28
  4. Step 4: Simplify right side
    509.91x = 141,689.17
  5. Step 5: Solve for x
    x = 141,689.17/509.91
  6. Step 6: Final answer
    x = 277.87

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