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Finding the Fourth Proportional to 516.69, 712.93 and 327.70

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Solution

The fourth proportional to 516.69, 712.93 and 327.70 is: 452.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.69 : 712.93 = 327.70 : x
  2. Step 2: Convert to fraction form
    516.69/712.93 = 327.70/x
  3. Step 3: Cross multiply
    516.69x = 712.93 × 327.70
  4. Step 4: Simplify right side
    516.69x = 233,624.56
  5. Step 5: Solve for x
    x = 233,624.56/516.69
  6. Step 6: Final answer
    x = 452.15

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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.