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Finding the Fourth Proportional to 596.03, 822.92 and 372.05

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Solution

The fourth proportional to 596.03, 822.92 and 372.05 is: 513.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.03 : 822.92 = 372.05 : x
  2. Step 2: Convert to fraction form
    596.03/822.92 = 372.05/x
  3. Step 3: Cross multiply
    596.03x = 822.92 × 372.05
  4. Step 4: Simplify right side
    596.03x = 306,165.33
  5. Step 5: Solve for x
    x = 306,165.33/596.03
  6. Step 6: Final answer
    x = 513.68

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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.