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Finding the Fourth Proportional to 378.78, 522.36 and 320.46

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Solution

The fourth proportional to 378.78, 522.36 and 320.46 is: 441.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.78 : 522.36 = 320.46 : x
  2. Step 2: Convert to fraction form
    378.78/522.36 = 320.46/x
  3. Step 3: Cross multiply
    378.78x = 522.36 × 320.46
  4. Step 4: Simplify right side
    378.78x = 167,395.49
  5. Step 5: Solve for x
    x = 167,395.49/378.78
  6. Step 6: Final answer
    x = 441.93

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