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Finding the Fourth Proportional to 723.21, 1,083.28 and 333.53

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Solution

The fourth proportional to 723.21, 1,083.28 and 333.53 is: 499.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.21 : 1,083.28 = 333.53 : x
  2. Step 2: Convert to fraction form
    723.21/1,083.28 = 333.53/x
  3. Step 3: Cross multiply
    723.21x = 1,083.28 × 333.53
  4. Step 4: Simplify right side
    723.21x = 361,306.38
  5. Step 5: Solve for x
    x = 361,306.38/723.21
  6. Step 6: Final answer
    x = 499.59

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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.