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Finding the Fourth Proportional to 516.75, 713.13 and 283.89

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Solution

The fourth proportional to 516.75, 713.13 and 283.89 is: 391.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.75 : 713.13 = 283.89 : x
  2. Step 2: Convert to fraction form
    516.75/713.13 = 283.89/x
  3. Step 3: Cross multiply
    516.75x = 713.13 × 283.89
  4. Step 4: Simplify right side
    516.75x = 202,450.48
  5. Step 5: Solve for x
    x = 202,450.48/516.75
  6. Step 6: Final answer
    x = 391.78

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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.