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Finding the Fourth Proportional to 516.75, 713.16 and 283.92

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Solution

The fourth proportional to 516.75, 713.16 and 283.92 is: 391.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.75 : 713.16 = 283.92 : x
  2. Step 2: Convert to fraction form
    516.75/713.16 = 283.92/x
  3. Step 3: Cross multiply
    516.75x = 713.16 × 283.92
  4. Step 4: Simplify right side
    516.75x = 202,480.39
  5. Step 5: Solve for x
    x = 202,480.39/516.75
  6. Step 6: Final answer
    x = 391.83

Related Problems

Find fourth proportional to 258.38, 356.58 and 141.96
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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.