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Finding the Fourth Proportional to 552.21, 827.74 and 405.75

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Solution

The fourth proportional to 552.21, 827.74 and 405.75 is: 608.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.21 : 827.74 = 405.75 : x
  2. Step 2: Convert to fraction form
    552.21/827.74 = 405.75/x
  3. Step 3: Cross multiply
    552.21x = 827.74 × 405.75
  4. Step 4: Simplify right side
    552.21x = 335,851.37
  5. Step 5: Solve for x
    x = 335,851.37/552.21
  6. Step 6: Final answer
    x = 608.20

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