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Finding the Fourth Proportional to 596.63, 823.44 and 363.89

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Solution

The fourth proportional to 596.63, 823.44 and 363.89 is: 502.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.63 : 823.44 = 363.89 : x
  2. Step 2: Convert to fraction form
    596.63/823.44 = 363.89/x
  3. Step 3: Cross multiply
    596.63x = 823.44 × 363.89
  4. Step 4: Simplify right side
    596.63x = 299,637.46
  5. Step 5: Solve for x
    x = 299,637.46/596.63
  6. Step 6: Final answer
    x = 502.22

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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.