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Finding the Fourth Proportional to 516.73, 713.26 and 309.73

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Solution

The fourth proportional to 516.73, 713.26 and 309.73 is: 427.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.73 : 713.26 = 309.73 : x
  2. Step 2: Convert to fraction form
    516.73/713.26 = 309.73/x
  3. Step 3: Cross multiply
    516.73x = 713.26 × 309.73
  4. Step 4: Simplify right side
    516.73x = 220,914.45
  5. Step 5: Solve for x
    x = 220,914.45/516.73
  6. Step 6: Final answer
    x = 427.53

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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.