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Finding the Fourth Proportional to 516.22, 712.37 and 280.16

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Solution

The fourth proportional to 516.22, 712.37 and 280.16 is: 386.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.22 : 712.37 = 280.16 : x
  2. Step 2: Convert to fraction form
    516.22/712.37 = 280.16/x
  3. Step 3: Cross multiply
    516.22x = 712.37 × 280.16
  4. Step 4: Simplify right side
    516.22x = 199,578.28
  5. Step 5: Solve for x
    x = 199,578.28/516.22
  6. Step 6: Final answer
    x = 386.62

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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.