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Finding the Fourth Proportional to 596.58, 823.23 and 363.66

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Solution

The fourth proportional to 596.58, 823.23 and 363.66 is: 501.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.58 : 823.23 = 363.66 : x
  2. Step 2: Convert to fraction form
    596.58/823.23 = 363.66/x
  3. Step 3: Cross multiply
    596.58x = 823.23 × 363.66
  4. Step 4: Simplify right side
    596.58x = 299,375.82
  5. Step 5: Solve for x
    x = 299,375.82/596.58
  6. Step 6: Final answer
    x = 501.82

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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.