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Finding the Fourth Proportional to 510.82, 704.92 and 344.78

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Solution

The fourth proportional to 510.82, 704.92 and 344.78 is: 475.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.82 : 704.92 = 344.78 : x
  2. Step 2: Convert to fraction form
    510.82/704.92 = 344.78/x
  3. Step 3: Cross multiply
    510.82x = 704.92 × 344.78
  4. Step 4: Simplify right side
    510.82x = 243,042.32
  5. Step 5: Solve for x
    x = 243,042.32/510.82
  6. Step 6: Final answer
    x = 475.79

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