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Finding the Fourth Proportional to 553.92, 764.16 and 378.96

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Solution

The fourth proportional to 553.92, 764.16 and 378.96 is: 522.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.92 : 764.16 = 378.96 : x
  2. Step 2: Convert to fraction form
    553.92/764.16 = 378.96/x
  3. Step 3: Cross multiply
    553.92x = 764.16 × 378.96
  4. Step 4: Simplify right side
    553.92x = 289,586.07
  5. Step 5: Solve for x
    x = 289,586.07/553.92
  6. Step 6: Final answer
    x = 522.79

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