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Finding the Fourth Proportional to 486.86, 728.91 and 255.24

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Solution

The fourth proportional to 486.86, 728.91 and 255.24 is: 382.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.86 : 728.91 = 255.24 : x
  2. Step 2: Convert to fraction form
    486.86/728.91 = 255.24/x
  3. Step 3: Cross multiply
    486.86x = 728.91 × 255.24
  4. Step 4: Simplify right side
    486.86x = 186,046.99
  5. Step 5: Solve for x
    x = 186,046.99/486.86
  6. Step 6: Final answer
    x = 382.14

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