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Finding the Fourth Proportional to 517.78, 775.74 and 459.65

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Solution

The fourth proportional to 517.78, 775.74 and 459.65 is: 688.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.78 : 775.74 = 459.65 : x
  2. Step 2: Convert to fraction form
    517.78/775.74 = 459.65/x
  3. Step 3: Cross multiply
    517.78x = 775.74 × 459.65
  4. Step 4: Simplify right side
    517.78x = 356,568.89
  5. Step 5: Solve for x
    x = 356,568.89/517.78
  6. Step 6: Final answer
    x = 688.66

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