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Finding the Fourth Proportional to 496.62, 744.26 and 388.44

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Solution

The fourth proportional to 496.62, 744.26 and 388.44 is: 582.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.62 : 744.26 = 388.44 : x
  2. Step 2: Convert to fraction form
    496.62/744.26 = 388.44/x
  3. Step 3: Cross multiply
    496.62x = 744.26 × 388.44
  4. Step 4: Simplify right side
    496.62x = 289,098.41
  5. Step 5: Solve for x
    x = 289,098.41/496.62
  6. Step 6: Final answer
    x = 582.13

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Why These Related Problems?

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