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Finding the Fourth Proportional to 596.77, 823.30 and 363.49

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Solution

The fourth proportional to 596.77, 823.30 and 363.49 is: 501.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.77 : 823.30 = 363.49 : x
  2. Step 2: Convert to fraction form
    596.77/823.30 = 363.49/x
  3. Step 3: Cross multiply
    596.77x = 823.30 × 363.49
  4. Step 4: Simplify right side
    596.77x = 299,261.32
  5. Step 5: Solve for x
    x = 299,261.32/596.77
  6. Step 6: Final answer
    x = 501.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.