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Finding the Fourth Proportional to 599.29, 827.45 and 366.73

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Solution

The fourth proportional to 599.29, 827.45 and 366.73 is: 506.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.29 : 827.45 = 366.73 : x
  2. Step 2: Convert to fraction form
    599.29/827.45 = 366.73/x
  3. Step 3: Cross multiply
    599.29x = 827.45 × 366.73
  4. Step 4: Simplify right side
    599.29x = 303,447.52
  5. Step 5: Solve for x
    x = 303,447.52/599.29
  6. Step 6: Final answer
    x = 506.35

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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.