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Finding the Fourth Proportional to 516.11, 712.29 and 319.68

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Solution

The fourth proportional to 516.11, 712.29 and 319.68 is: 441.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.11 : 712.29 = 319.68 : x
  2. Step 2: Convert to fraction form
    516.11/712.29 = 319.68/x
  3. Step 3: Cross multiply
    516.11x = 712.29 × 319.68
  4. Step 4: Simplify right side
    516.11x = 227,704.87
  5. Step 5: Solve for x
    x = 227,704.87/516.11
  6. Step 6: Final answer
    x = 441.20

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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.