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Finding the Fourth Proportional to 669.82, 1,003.74 and 361.84

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Solution

The fourth proportional to 669.82, 1,003.74 and 361.84 is: 542.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.82 : 1,003.74 = 361.84 : x
  2. Step 2: Convert to fraction form
    669.82/1,003.74 = 361.84/x
  3. Step 3: Cross multiply
    669.82x = 1,003.74 × 361.84
  4. Step 4: Simplify right side
    669.82x = 363,193.28
  5. Step 5: Solve for x
    x = 363,193.28/669.82
  6. Step 6: Final answer
    x = 542.23

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