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Finding the Fourth Proportional to 516.86, 712.70 and 351.17

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Solution

The fourth proportional to 516.86, 712.70 and 351.17 is: 484.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.86 : 712.70 = 351.17 : x
  2. Step 2: Convert to fraction form
    516.86/712.70 = 351.17/x
  3. Step 3: Cross multiply
    516.86x = 712.70 × 351.17
  4. Step 4: Simplify right side
    516.86x = 250,273.54
  5. Step 5: Solve for x
    x = 250,273.54/516.86
  6. Step 6: Final answer
    x = 484.22

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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.