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Finding the Fourth Proportional to 516.86, 713.05 and 309.86

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Solution

The fourth proportional to 516.86, 713.05 and 309.86 is: 427.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.86 : 713.05 = 309.86 : x
  2. Step 2: Convert to fraction form
    516.86/713.05 = 309.86/x
  3. Step 3: Cross multiply
    516.86x = 713.05 × 309.86
  4. Step 4: Simplify right side
    516.86x = 220,945.67
  5. Step 5: Solve for x
    x = 220,945.67/516.86
  6. Step 6: Final answer
    x = 427.48

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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.