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Finding the Fourth Proportional to 571.98, 789.35 and 350.80

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Solution

The fourth proportional to 571.98, 789.35 and 350.80 is: 484.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.98 : 789.35 = 350.80 : x
  2. Step 2: Convert to fraction form
    571.98/789.35 = 350.80/x
  3. Step 3: Cross multiply
    571.98x = 789.35 × 350.80
  4. Step 4: Simplify right side
    571.98x = 276,902.23
  5. Step 5: Solve for x
    x = 276,902.23/571.98
  6. Step 6: Final answer
    x = 484.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.