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Finding the Fourth Proportional to 701.72, 968.37 and 391.22

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Solution

The fourth proportional to 701.72, 968.37 and 391.22 is: 539.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.72 : 968.37 = 391.22 : x
  2. Step 2: Convert to fraction form
    701.72/968.37 = 391.22/x
  3. Step 3: Cross multiply
    701.72x = 968.37 × 391.22
  4. Step 4: Simplify right side
    701.72x = 378,845.23
  5. Step 5: Solve for x
    x = 378,845.23/701.72
  6. Step 6: Final answer
    x = 539.88

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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.