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Finding the Fourth Proportional to 599.39, 827.13 and 333.82

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Solution

The fourth proportional to 599.39, 827.13 and 333.82 is: 460.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.39 : 827.13 = 333.82 : x
  2. Step 2: Convert to fraction form
    599.39/827.13 = 333.82/x
  3. Step 3: Cross multiply
    599.39x = 827.13 × 333.82
  4. Step 4: Simplify right side
    599.39x = 276,114.82
  5. Step 5: Solve for x
    x = 276,114.82/599.39
  6. Step 6: Final answer
    x = 460.66

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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.