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Finding the Fourth Proportional to 723.24, 1,083.96 and 333

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Solution

The fourth proportional to 723.24, 1,083.96 and 333 is: 499.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.24 : 1,083.96 = 333 : x
  2. Step 2: Convert to fraction form
    723.24/1,083.96 = 333/x
  3. Step 3: Cross multiply
    723.24x = 1,083.96 × 333
  4. Step 4: Simplify right side
    723.24x = 360,958.68
  5. Step 5: Solve for x
    x = 360,958.68/723.24
  6. Step 6: Final answer
    x = 499.09

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Why These Related Problems?

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