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Finding the Fourth Proportional to 516.77, 713.10 and 283.88

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Solution

The fourth proportional to 516.77, 713.10 and 283.88 is: 391.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.77 : 713.10 = 283.88 : x
  2. Step 2: Convert to fraction form
    516.77/713.10 = 283.88/x
  3. Step 3: Cross multiply
    516.77x = 713.10 × 283.88
  4. Step 4: Simplify right side
    516.77x = 202,431.26
  5. Step 5: Solve for x
    x = 202,431.26/516.77
  6. Step 6: Final answer
    x = 391.73

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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.