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Finding the Fourth Proportional to 412, 567.66 and 401.20

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Solution

The fourth proportional to 412, 567.66 and 401.20 is: 552.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    412 : 567.66 = 401.20 : x
  2. Step 2: Convert to fraction form
    412/567.66 = 401.20/x
  3. Step 3: Cross multiply
    412x = 567.66 × 401.20
  4. Step 4: Simplify right side
    412x = 227,745.19
  5. Step 5: Solve for x
    x = 227,745.19/412
  6. Step 6: Final answer
    x = 552.78

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