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Finding the Fourth Proportional to 516.36, 712.57 and 280.31

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Solution

The fourth proportional to 516.36, 712.57 and 280.31 is: 386.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.36 : 712.57 = 280.31 : x
  2. Step 2: Convert to fraction form
    516.36/712.57 = 280.31/x
  3. Step 3: Cross multiply
    516.36x = 712.57 × 280.31
  4. Step 4: Simplify right side
    516.36x = 199,738.72
  5. Step 5: Solve for x
    x = 199,738.72/516.36
  6. Step 6: Final answer
    x = 386.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.