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Finding the Fourth Proportional to 722.20, 1,083.27 and 351.56

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Solution

The fourth proportional to 722.20, 1,083.27 and 351.56 is: 527.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.20 : 1,083.27 = 351.56 : x
  2. Step 2: Convert to fraction form
    722.20/1,083.27 = 351.56/x
  3. Step 3: Cross multiply
    722.20x = 1,083.27 × 351.56
  4. Step 4: Simplify right side
    722.20x = 380,834.40
  5. Step 5: Solve for x
    x = 380,834.40/722.20
  6. Step 6: Final answer
    x = 527.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.