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Finding the Fourth Proportional to 599.42, 827.17 and 333.88

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Solution

The fourth proportional to 599.42, 827.17 and 333.88 is: 460.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.42 : 827.17 = 333.88 : x
  2. Step 2: Convert to fraction form
    599.42/827.17 = 333.88/x
  3. Step 3: Cross multiply
    599.42x = 827.17 × 333.88
  4. Step 4: Simplify right side
    599.42x = 276,169.71
  5. Step 5: Solve for x
    x = 276,169.71/599.42
  6. Step 6: Final answer
    x = 460.73

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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.