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Finding the Fourth Proportional to 398.15, 597.22 and 109.59

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Solution

The fourth proportional to 398.15, 597.22 and 109.59 is: 164.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.15 : 597.22 = 109.59 : x
  2. Step 2: Convert to fraction form
    398.15/597.22 = 109.59/x
  3. Step 3: Cross multiply
    398.15x = 597.22 × 109.59
  4. Step 4: Simplify right side
    398.15x = 65,449.34
  5. Step 5: Solve for x
    x = 65,449.34/398.15
  6. Step 6: Final answer
    x = 164.38

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