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Finding the Fourth Proportional to 516.50, 712.78 and 283.63

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Solution

The fourth proportional to 516.50, 712.78 and 283.63 is: 391.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.50 : 712.78 = 283.63 : x
  2. Step 2: Convert to fraction form
    516.50/712.78 = 283.63/x
  3. Step 3: Cross multiply
    516.50x = 712.78 × 283.63
  4. Step 4: Simplify right side
    516.50x = 202,164.37
  5. Step 5: Solve for x
    x = 202,164.37/516.50
  6. Step 6: Final answer
    x = 391.41

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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.