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Finding the Fourth Proportional to 414.61, 571.92 and 264.94

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Solution

The fourth proportional to 414.61, 571.92 and 264.94 is: 365.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.61 : 571.92 = 264.94 : x
  2. Step 2: Convert to fraction form
    414.61/571.92 = 264.94/x
  3. Step 3: Cross multiply
    414.61x = 571.92 × 264.94
  4. Step 4: Simplify right side
    414.61x = 151,524.48
  5. Step 5: Solve for x
    x = 151,524.48/414.61
  6. Step 6: Final answer
    x = 365.46

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