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Finding the Fourth Proportional to 596.15, 822.68 and 363.27

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Solution

The fourth proportional to 596.15, 822.68 and 363.27 is: 501.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.15 : 822.68 = 363.27 : x
  2. Step 2: Convert to fraction form
    596.15/822.68 = 363.27/x
  3. Step 3: Cross multiply
    596.15x = 822.68 × 363.27
  4. Step 4: Simplify right side
    596.15x = 298,853.15
  5. Step 5: Solve for x
    x = 298,853.15/596.15
  6. Step 6: Final answer
    x = 501.31

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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.