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Finding the Fourth Proportional to 441.29, 609.03 and 354.21

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Solution

The fourth proportional to 441.29, 609.03 and 354.21 is: 488.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.29 : 609.03 = 354.21 : x
  2. Step 2: Convert to fraction form
    441.29/609.03 = 354.21/x
  3. Step 3: Cross multiply
    441.29x = 609.03 × 354.21
  4. Step 4: Simplify right side
    441.29x = 215,724.52
  5. Step 5: Solve for x
    x = 215,724.52/441.29
  6. Step 6: Final answer
    x = 488.86

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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.