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Finding the Fourth Proportional to 571.88, 789.26 and 397.59

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Solution

The fourth proportional to 571.88, 789.26 and 397.59 is: 548.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.88 : 789.26 = 397.59 : x
  2. Step 2: Convert to fraction form
    571.88/789.26 = 397.59/x
  3. Step 3: Cross multiply
    571.88x = 789.26 × 397.59
  4. Step 4: Simplify right side
    571.88x = 313,799.90
  5. Step 5: Solve for x
    x = 313,799.90/571.88
  6. Step 6: Final answer
    x = 548.72

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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.