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Finding the Fourth Proportional to 596.22, 822.93 and 363.54

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Solution

The fourth proportional to 596.22, 822.93 and 363.54 is: 501.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.22 : 822.93 = 363.54 : x
  2. Step 2: Convert to fraction form
    596.22/822.93 = 363.54/x
  3. Step 3: Cross multiply
    596.22x = 822.93 × 363.54
  4. Step 4: Simplify right side
    596.22x = 299,167.97
  5. Step 5: Solve for x
    x = 299,167.97/596.22
  6. Step 6: Final answer
    x = 501.77

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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.