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Finding the Fourth Proportional to 596.75, 823.97 and 439.62

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Solution

The fourth proportional to 596.75, 823.97 and 439.62 is: 607.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.75 : 823.97 = 439.62 : x
  2. Step 2: Convert to fraction form
    596.75/823.97 = 439.62/x
  3. Step 3: Cross multiply
    596.75x = 823.97 × 439.62
  4. Step 4: Simplify right side
    596.75x = 362,234.37
  5. Step 5: Solve for x
    x = 362,234.37/596.75
  6. Step 6: Final answer
    x = 607.01

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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.