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Finding the Fourth Proportional to 727.23, 1,090.74 and 380.45

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Solution

The fourth proportional to 727.23, 1,090.74 and 380.45 is: 570.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.23 : 1,090.74 = 380.45 : x
  2. Step 2: Convert to fraction form
    727.23/1,090.74 = 380.45/x
  3. Step 3: Cross multiply
    727.23x = 1,090.74 × 380.45
  4. Step 4: Simplify right side
    727.23x = 414,964.68
  5. Step 5: Solve for x
    x = 414,964.68/727.23
  6. Step 6: Final answer
    x = 570.61

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