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Finding the Fourth Proportional to 516.39, 712.41 and 319.56

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Solution

The fourth proportional to 516.39, 712.41 and 319.56 is: 440.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.39 : 712.41 = 319.56 : x
  2. Step 2: Convert to fraction form
    516.39/712.41 = 319.56/x
  3. Step 3: Cross multiply
    516.39x = 712.41 × 319.56
  4. Step 4: Simplify right side
    516.39x = 227,657.74
  5. Step 5: Solve for x
    x = 227,657.74/516.39
  6. Step 6: Final answer
    x = 440.86

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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.