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Finding the Fourth Proportional to 375.75, 564.99 and 345.68

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Solution

The fourth proportional to 375.75, 564.99 and 345.68 is: 519.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.75 : 564.99 = 345.68 : x
  2. Step 2: Convert to fraction form
    375.75/564.99 = 345.68/x
  3. Step 3: Cross multiply
    375.75x = 564.99 × 345.68
  4. Step 4: Simplify right side
    375.75x = 195,304.10
  5. Step 5: Solve for x
    x = 195,304.10/375.75
  6. Step 6: Final answer
    x = 519.78

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