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Finding the Fourth Proportional to 571.62, 789.33 and 397.50

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Solution

The fourth proportional to 571.62, 789.33 and 397.50 is: 548.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.62 : 789.33 = 397.50 : x
  2. Step 2: Convert to fraction form
    571.62/789.33 = 397.50/x
  3. Step 3: Cross multiply
    571.62x = 789.33 × 397.50
  4. Step 4: Simplify right side
    571.62x = 313,758.68
  5. Step 5: Solve for x
    x = 313,758.68/571.62
  6. Step 6: Final answer
    x = 548.89

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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.