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Finding the Fourth Proportional to 538.66, 737.96 and 519.22

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Solution

The fourth proportional to 538.66, 737.96 and 519.22 is: 711.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.66 : 737.96 = 519.22 : x
  2. Step 2: Convert to fraction form
    538.66/737.96 = 519.22/x
  3. Step 3: Cross multiply
    538.66x = 737.96 × 519.22
  4. Step 4: Simplify right side
    538.66x = 383,163.59
  5. Step 5: Solve for x
    x = 383,163.59/538.66
  6. Step 6: Final answer
    x = 711.33

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.