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Finding the Fourth Proportional to 467.62, 645.22 and 320.20

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Solution

The fourth proportional to 467.62, 645.22 and 320.20 is: 441.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.62 : 645.22 = 320.20 : x
  2. Step 2: Convert to fraction form
    467.62/645.22 = 320.20/x
  3. Step 3: Cross multiply
    467.62x = 645.22 × 320.20
  4. Step 4: Simplify right side
    467.62x = 206,599.44
  5. Step 5: Solve for x
    x = 206,599.44/467.62
  6. Step 6: Final answer
    x = 441.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.