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Finding the Fourth Proportional to 723.24, 1,083.88 and 333.28

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Solution

The fourth proportional to 723.24, 1,083.88 and 333.28 is: 499.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.24 : 1,083.88 = 333.28 : x
  2. Step 2: Convert to fraction form
    723.24/1,083.88 = 333.28/x
  3. Step 3: Cross multiply
    723.24x = 1,083.88 × 333.28
  4. Step 4: Simplify right side
    723.24x = 361,235.53
  5. Step 5: Solve for x
    x = 361,235.53/723.24
  6. Step 6: Final answer
    x = 499.47

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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.