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Finding the Fourth Proportional to 496.21, 683.97 and 391.13

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Solution

The fourth proportional to 496.21, 683.97 and 391.13 is: 539.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.21 : 683.97 = 391.13 : x
  2. Step 2: Convert to fraction form
    496.21/683.97 = 391.13/x
  3. Step 3: Cross multiply
    496.21x = 683.97 × 391.13
  4. Step 4: Simplify right side
    496.21x = 267,517.77
  5. Step 5: Solve for x
    x = 267,517.77/496.21
  6. Step 6: Final answer
    x = 539.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.