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Finding the Fourth Proportional to 441.20, 608.78 and 264.10

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Solution

The fourth proportional to 441.20, 608.78 and 264.10 is: 364.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.20 : 608.78 = 264.10 : x
  2. Step 2: Convert to fraction form
    441.20/608.78 = 264.10/x
  3. Step 3: Cross multiply
    441.20x = 608.78 × 264.10
  4. Step 4: Simplify right side
    441.20x = 160,778.80
  5. Step 5: Solve for x
    x = 160,778.80/441.20
  6. Step 6: Final answer
    x = 364.41

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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.