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Finding the Fourth Proportional to 599.52, 827.33 and 333.96

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Solution

The fourth proportional to 599.52, 827.33 and 333.96 is: 460.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.52 : 827.33 = 333.96 : x
  2. Step 2: Convert to fraction form
    599.52/827.33 = 333.96/x
  3. Step 3: Cross multiply
    599.52x = 827.33 × 333.96
  4. Step 4: Simplify right side
    599.52x = 276,295.13
  5. Step 5: Solve for x
    x = 276,295.13/599.52
  6. Step 6: Final answer
    x = 460.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.