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Finding the Fourth Proportional to 809.46, 1,213.38 and 397.98

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Solution

The fourth proportional to 809.46, 1,213.38 and 397.98 is: 596.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.46 : 1,213.38 = 397.98 : x
  2. Step 2: Convert to fraction form
    809.46/1,213.38 = 397.98/x
  3. Step 3: Cross multiply
    809.46x = 1,213.38 × 397.98
  4. Step 4: Simplify right side
    809.46x = 482,900.97
  5. Step 5: Solve for x
    x = 482,900.97/809.46
  6. Step 6: Final answer
    x = 596.57

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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.