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Finding the Fourth Proportional to 321.72, 484.39 and 283.44

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Solution

The fourth proportional to 321.72, 484.39 and 283.44 is: 426.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.72 : 484.39 = 283.44 : x
  2. Step 2: Convert to fraction form
    321.72/484.39 = 283.44/x
  3. Step 3: Cross multiply
    321.72x = 484.39 × 283.44
  4. Step 4: Simplify right side
    321.72x = 137,297.67
  5. Step 5: Solve for x
    x = 137,297.67/321.72
  6. Step 6: Final answer
    x = 426.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.