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Finding the Fourth Proportional to 722.23, 1,083.46 and 235.17

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Solution

The fourth proportional to 722.23, 1,083.46 and 235.17 is: 352.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.23 : 1,083.46 = 235.17 : x
  2. Step 2: Convert to fraction form
    722.23/1,083.46 = 235.17/x
  3. Step 3: Cross multiply
    722.23x = 1,083.46 × 235.17
  4. Step 4: Simplify right side
    722.23x = 254,793.99
  5. Step 5: Solve for x
    x = 254,793.99/722.23
  6. Step 6: Final answer
    x = 352.79

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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.