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Finding the Fourth Proportional to 596.50, 823.26 and 363.76

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Solution

The fourth proportional to 596.50, 823.26 and 363.76 is: 502.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.50 : 823.26 = 363.76 : x
  2. Step 2: Convert to fraction form
    596.50/823.26 = 363.76/x
  3. Step 3: Cross multiply
    596.50x = 823.26 × 363.76
  4. Step 4: Simplify right side
    596.50x = 299,469.06
  5. Step 5: Solve for x
    x = 299,469.06/596.50
  6. Step 6: Final answer
    x = 502.04

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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.