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Finding the Fourth Proportional to 613.26, 846.18 and 496.62

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Solution

The fourth proportional to 613.26, 846.18 and 496.62 is: 685.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.26 : 846.18 = 496.62 : x
  2. Step 2: Convert to fraction form
    613.26/846.18 = 496.62/x
  3. Step 3: Cross multiply
    613.26x = 846.18 × 496.62
  4. Step 4: Simplify right side
    613.26x = 420,229.91
  5. Step 5: Solve for x
    x = 420,229.91/613.26
  6. Step 6: Final answer
    x = 685.24

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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.