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Finding the Fourth Proportional to 381.92, 572.16 and 259.76

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Solution

The fourth proportional to 381.92, 572.16 and 259.76 is: 389.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.92 : 572.16 = 259.76 : x
  2. Step 2: Convert to fraction form
    381.92/572.16 = 259.76/x
  3. Step 3: Cross multiply
    381.92x = 572.16 × 259.76
  4. Step 4: Simplify right side
    381.92x = 148,624.28
  5. Step 5: Solve for x
    x = 148,624.28/381.92
  6. Step 6: Final answer
    x = 389.15

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