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Finding the Fourth Proportional to 599.86, 827.82 and 363.84

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Solution

The fourth proportional to 599.86, 827.82 and 363.84 is: 502.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.86 : 827.82 = 363.84 : x
  2. Step 2: Convert to fraction form
    599.86/827.82 = 363.84/x
  3. Step 3: Cross multiply
    599.86x = 827.82 × 363.84
  4. Step 4: Simplify right side
    599.86x = 301,194.03
  5. Step 5: Solve for x
    x = 301,194.03/599.86
  6. Step 6: Final answer
    x = 502.11

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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.