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Finding the Fourth Proportional to 518.62, 776.88 and 257.84

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Solution

The fourth proportional to 518.62, 776.88 and 257.84 is: 386.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.62 : 776.88 = 257.84 : x
  2. Step 2: Convert to fraction form
    518.62/776.88 = 257.84/x
  3. Step 3: Cross multiply
    518.62x = 776.88 × 257.84
  4. Step 4: Simplify right side
    518.62x = 200,310.74
  5. Step 5: Solve for x
    x = 200,310.74/518.62
  6. Step 6: Final answer
    x = 386.24

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