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Finding the Fourth Proportional to 596.08, 822.42 and 343.96

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Solution

The fourth proportional to 596.08, 822.42 and 343.96 is: 474.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.08 : 822.42 = 343.96 : x
  2. Step 2: Convert to fraction form
    596.08/822.42 = 343.96/x
  3. Step 3: Cross multiply
    596.08x = 822.42 × 343.96
  4. Step 4: Simplify right side
    596.08x = 282,879.58
  5. Step 5: Solve for x
    x = 282,879.58/596.08
  6. Step 6: Final answer
    x = 474.57

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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.