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Finding the Fourth Proportional to 398.26, 597.53 and 205.75

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Solution

The fourth proportional to 398.26, 597.53 and 205.75 is: 308.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.26 : 597.53 = 205.75 : x
  2. Step 2: Convert to fraction form
    398.26/597.53 = 205.75/x
  3. Step 3: Cross multiply
    398.26x = 597.53 × 205.75
  4. Step 4: Simplify right side
    398.26x = 122,941.80
  5. Step 5: Solve for x
    x = 122,941.80/398.26
  6. Step 6: Final answer
    x = 308.70

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