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Finding the Fourth Proportional to 589.12, 884.24 and 264.64

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Solution

The fourth proportional to 589.12, 884.24 and 264.64 is: 397.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.12 : 884.24 = 264.64 : x
  2. Step 2: Convert to fraction form
    589.12/884.24 = 264.64/x
  3. Step 3: Cross multiply
    589.12x = 884.24 × 264.64
  4. Step 4: Simplify right side
    589.12x = 234,005.27
  5. Step 5: Solve for x
    x = 234,005.27/589.12
  6. Step 6: Final answer
    x = 397.21

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