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Finding the Fourth Proportional to 686.02, 1,028.80 and 378.22

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Solution

The fourth proportional to 686.02, 1,028.80 and 378.22 is: 567.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.02 : 1,028.80 = 378.22 : x
  2. Step 2: Convert to fraction form
    686.02/1,028.80 = 378.22/x
  3. Step 3: Cross multiply
    686.02x = 1,028.80 × 378.22
  4. Step 4: Simplify right side
    686.02x = 389,112.74
  5. Step 5: Solve for x
    x = 389,112.74/686.02
  6. Step 6: Final answer
    x = 567.20

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