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Finding the Fourth Proportional to 517.62, 775.39 and 256.84

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Solution

The fourth proportional to 517.62, 775.39 and 256.84 is: 384.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.62 : 775.39 = 256.84 : x
  2. Step 2: Convert to fraction form
    517.62/775.39 = 256.84/x
  3. Step 3: Cross multiply
    517.62x = 775.39 × 256.84
  4. Step 4: Simplify right side
    517.62x = 199,146.01
  5. Step 5: Solve for x
    x = 199,146.01/517.62
  6. Step 6: Final answer
    x = 384.73

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