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Finding the Fourth Proportional to 611.39, 843.09 and 471.53

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Solution

The fourth proportional to 611.39, 843.09 and 471.53 is: 650.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.39 : 843.09 = 471.53 : x
  2. Step 2: Convert to fraction form
    611.39/843.09 = 471.53/x
  3. Step 3: Cross multiply
    611.39x = 843.09 × 471.53
  4. Step 4: Simplify right side
    611.39x = 397,542.57
  5. Step 5: Solve for x
    x = 397,542.57/611.39
  6. Step 6: Final answer
    x = 650.22

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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.