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Finding the Fourth Proportional to 516.09, 711.93 and 319.26

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Solution

The fourth proportional to 516.09, 711.93 and 319.26 is: 440.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.09 : 711.93 = 319.26 : x
  2. Step 2: Convert to fraction form
    516.09/711.93 = 319.26/x
  3. Step 3: Cross multiply
    516.09x = 711.93 × 319.26
  4. Step 4: Simplify right side
    516.09x = 227,290.77
  5. Step 5: Solve for x
    x = 227,290.77/516.09
  6. Step 6: Final answer
    x = 440.41

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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.