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Finding the Fourth Proportional to 509.93, 764.89 and 144.72

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Solution

The fourth proportional to 509.93, 764.89 and 144.72 is: 217.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.93 : 764.89 = 144.72 : x
  2. Step 2: Convert to fraction form
    509.93/764.89 = 144.72/x
  3. Step 3: Cross multiply
    509.93x = 764.89 × 144.72
  4. Step 4: Simplify right side
    509.93x = 110,694.88
  5. Step 5: Solve for x
    x = 110,694.88/509.93
  6. Step 6: Final answer
    x = 217.08

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