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Finding the Fourth Proportional to 441.09, 609.39 and 353.61

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Solution

The fourth proportional to 441.09, 609.39 and 353.61 is: 488.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.09 : 609.39 = 353.61 : x
  2. Step 2: Convert to fraction form
    441.09/609.39 = 353.61/x
  3. Step 3: Cross multiply
    441.09x = 609.39 × 353.61
  4. Step 4: Simplify right side
    441.09x = 215,486.40
  5. Step 5: Solve for x
    x = 215,486.40/441.09
  6. Step 6: Final answer
    x = 488.53

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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.