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Finding the Fourth Proportional to 516.65, 712.86 and 306.89

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Solution

The fourth proportional to 516.65, 712.86 and 306.89 is: 423.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.65 : 712.86 = 306.89 : x
  2. Step 2: Convert to fraction form
    516.65/712.86 = 306.89/x
  3. Step 3: Cross multiply
    516.65x = 712.86 × 306.89
  4. Step 4: Simplify right side
    516.65x = 218,766.04
  5. Step 5: Solve for x
    x = 218,766.04/516.65
  6. Step 6: Final answer
    x = 423.44

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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.