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Finding the Fourth Proportional to 516.13, 711.83 and 319.69

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Solution

The fourth proportional to 516.13, 711.83 and 319.69 is: 440.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.13 : 711.83 = 319.69 : x
  2. Step 2: Convert to fraction form
    516.13/711.83 = 319.69/x
  3. Step 3: Cross multiply
    516.13x = 711.83 × 319.69
  4. Step 4: Simplify right side
    516.13x = 227,564.93
  5. Step 5: Solve for x
    x = 227,564.93/516.13
  6. Step 6: Final answer
    x = 440.91

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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.