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Finding the Fourth Proportional to 408.32, 609.66 and 350.46

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Solution

The fourth proportional to 408.32, 609.66 and 350.46 is: 523.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.32 : 609.66 = 350.46 : x
  2. Step 2: Convert to fraction form
    408.32/609.66 = 350.46/x
  3. Step 3: Cross multiply
    408.32x = 609.66 × 350.46
  4. Step 4: Simplify right side
    408.32x = 213,661.44
  5. Step 5: Solve for x
    x = 213,661.44/408.32
  6. Step 6: Final answer
    x = 523.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.