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Finding the Fourth Proportional to 516.20, 712.35 and 280.15

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Solution

The fourth proportional to 516.20, 712.35 and 280.15 is: 386.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.20 : 712.35 = 280.15 : x
  2. Step 2: Convert to fraction form
    516.20/712.35 = 280.15/x
  3. Step 3: Cross multiply
    516.20x = 712.35 × 280.15
  4. Step 4: Simplify right side
    516.20x = 199,564.69
  5. Step 5: Solve for x
    x = 199,564.69/516.20
  6. Step 6: Final answer
    x = 386.61

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