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Finding the Fourth Proportional to 509.75, 764.39 and 201.55

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Solution

The fourth proportional to 509.75, 764.39 and 201.55 is: 302.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.75 : 764.39 = 201.55 : x
  2. Step 2: Convert to fraction form
    509.75/764.39 = 201.55/x
  3. Step 3: Cross multiply
    509.75x = 764.39 × 201.55
  4. Step 4: Simplify right side
    509.75x = 154,059.89
  5. Step 5: Solve for x
    x = 154,059.89/509.75
  6. Step 6: Final answer
    x = 302.23

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