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Finding the Fourth Proportional to 408.09, 612.36 and 225.59

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Solution

The fourth proportional to 408.09, 612.36 and 225.59 is: 338.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.09 : 612.36 = 225.59 : x
  2. Step 2: Convert to fraction form
    408.09/612.36 = 225.59/x
  3. Step 3: Cross multiply
    408.09x = 612.36 × 225.59
  4. Step 4: Simplify right side
    408.09x = 138,139.23
  5. Step 5: Solve for x
    x = 138,139.23/408.09
  6. Step 6: Final answer
    x = 338.50

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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.