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Finding the Fourth Proportional to 406.44, 610.19 and 242.21

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Solution

The fourth proportional to 406.44, 610.19 and 242.21 is: 363.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.44 : 610.19 = 242.21 : x
  2. Step 2: Convert to fraction form
    406.44/610.19 = 242.21/x
  3. Step 3: Cross multiply
    406.44x = 610.19 × 242.21
  4. Step 4: Simplify right side
    406.44x = 147,794.12
  5. Step 5: Solve for x
    x = 147,794.12/406.44
  6. Step 6: Final answer
    x = 363.63

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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.