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Finding the Fourth Proportional to 552.42, 827.91 and 205.44

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Solution

The fourth proportional to 552.42, 827.91 and 205.44 is: 307.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.42 : 827.91 = 205.44 : x
  2. Step 2: Convert to fraction form
    552.42/827.91 = 205.44/x
  3. Step 3: Cross multiply
    552.42x = 827.91 × 205.44
  4. Step 4: Simplify right side
    552.42x = 170,085.83
  5. Step 5: Solve for x
    x = 170,085.83/552.42
  6. Step 6: Final answer
    x = 307.89

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