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Finding the Fourth Proportional to 441.96, 609.75 and 255.44

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Solution

The fourth proportional to 441.96, 609.75 and 255.44 is: 352.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.96 : 609.75 = 255.44 : x
  2. Step 2: Convert to fraction form
    441.96/609.75 = 255.44/x
  3. Step 3: Cross multiply
    441.96x = 609.75 × 255.44
  4. Step 4: Simplify right side
    441.96x = 155,751.49
  5. Step 5: Solve for x
    x = 155,751.49/441.96
  6. Step 6: Final answer
    x = 352.41

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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.