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Finding the Fourth Proportional to 510.82, 765.23 and 266.75

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Solution

The fourth proportional to 510.82, 765.23 and 266.75 is: 399.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.82 : 765.23 = 266.75 : x
  2. Step 2: Convert to fraction form
    510.82/765.23 = 266.75/x
  3. Step 3: Cross multiply
    510.82x = 765.23 × 266.75
  4. Step 4: Simplify right side
    510.82x = 204,125.68
  5. Step 5: Solve for x
    x = 204,125.68/510.82
  6. Step 6: Final answer
    x = 399.61

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