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Finding the Fourth Proportional to 516.15, 774.45 and 259.65

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Solution

The fourth proportional to 516.15, 774.45 and 259.65 is: 389.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.15 : 774.45 = 259.65 : x
  2. Step 2: Convert to fraction form
    516.15/774.45 = 259.65/x
  3. Step 3: Cross multiply
    516.15x = 774.45 × 259.65
  4. Step 4: Simplify right side
    516.15x = 201,085.94
  5. Step 5: Solve for x
    x = 201,085.94/516.15
  6. Step 6: Final answer
    x = 389.59

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