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Finding the Fourth Proportional to 380.64, 571.12 and 320.44

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Solution

The fourth proportional to 380.64, 571.12 and 320.44 is: 480.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.64 : 571.12 = 320.44 : x
  2. Step 2: Convert to fraction form
    380.64/571.12 = 320.44/x
  3. Step 3: Cross multiply
    380.64x = 571.12 × 320.44
  4. Step 4: Simplify right side
    380.64x = 183,009.69
  5. Step 5: Solve for x
    x = 183,009.69/380.64
  6. Step 6: Final answer
    x = 480.79

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