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Finding the Fourth Proportional to 597.52, 896.28 and 164.80

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Solution

The fourth proportional to 597.52, 896.28 and 164.80 is: 247.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.52 : 896.28 = 164.80 : x
  2. Step 2: Convert to fraction form
    597.52/896.28 = 164.80/x
  3. Step 3: Cross multiply
    597.52x = 896.28 × 164.80
  4. Step 4: Simplify right side
    597.52x = 147,706.94
  5. Step 5: Solve for x
    x = 147,706.94/597.52
  6. Step 6: Final answer
    x = 247.20

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