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Finding the Fourth Proportional to 378.92, 566.02 and 320.78

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Solution

The fourth proportional to 378.92, 566.02 and 320.78 is: 479.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.92 : 566.02 = 320.78 : x
  2. Step 2: Convert to fraction form
    378.92/566.02 = 320.78/x
  3. Step 3: Cross multiply
    378.92x = 566.02 × 320.78
  4. Step 4: Simplify right side
    378.92x = 181,567.90
  5. Step 5: Solve for x
    x = 181,567.90/378.92
  6. Step 6: Final answer
    x = 479.17

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