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Finding the Fourth Proportional to 441.87, 609.67 and 255.30

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Solution

The fourth proportional to 441.87, 609.67 and 255.30 is: 352.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.87 : 609.67 = 255.30 : x
  2. Step 2: Convert to fraction form
    441.87/609.67 = 255.30/x
  3. Step 3: Cross multiply
    441.87x = 609.67 × 255.30
  4. Step 4: Simplify right side
    441.87x = 155,648.75
  5. Step 5: Solve for x
    x = 155,648.75/441.87
  6. Step 6: Final answer
    x = 352.25

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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.