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Finding the Fourth Proportional to 464.16, 640.61 and 289.41

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Solution

The fourth proportional to 464.16, 640.61 and 289.41 is: 399.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.16 : 640.61 = 289.41 : x
  2. Step 2: Convert to fraction form
    464.16/640.61 = 289.41/x
  3. Step 3: Cross multiply
    464.16x = 640.61 × 289.41
  4. Step 4: Simplify right side
    464.16x = 185,397.49
  5. Step 5: Solve for x
    x = 185,397.49/464.16
  6. Step 6: Final answer
    x = 399.43

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