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Finding the Fourth Proportional to 596.24, 892.62 and 450.59

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Solution

The fourth proportional to 596.24, 892.62 and 450.59 is: 674.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.24 : 892.62 = 450.59 : x
  2. Step 2: Convert to fraction form
    596.24/892.62 = 450.59/x
  3. Step 3: Cross multiply
    596.24x = 892.62 × 450.59
  4. Step 4: Simplify right side
    596.24x = 402,205.65
  5. Step 5: Solve for x
    x = 402,205.65/596.24
  6. Step 6: Final answer
    x = 674.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.