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Finding the Fourth Proportional to 713.04, 1,069.68 and 361.84

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Solution

The fourth proportional to 713.04, 1,069.68 and 361.84 is: 542.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.04 : 1,069.68 = 361.84 : x
  2. Step 2: Convert to fraction form
    713.04/1,069.68 = 361.84/x
  3. Step 3: Cross multiply
    713.04x = 1,069.68 × 361.84
  4. Step 4: Simplify right side
    713.04x = 387,053.01
  5. Step 5: Solve for x
    x = 387,053.01/713.04
  6. Step 6: Final answer
    x = 542.82

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