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Finding the Fourth Proportional to 321.50, 484.18 and 281.41

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Solution

The fourth proportional to 321.50, 484.18 and 281.41 is: 423.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.50 : 484.18 = 281.41 : x
  2. Step 2: Convert to fraction form
    321.50/484.18 = 281.41/x
  3. Step 3: Cross multiply
    321.50x = 484.18 × 281.41
  4. Step 4: Simplify right side
    321.50x = 136,251.18
  5. Step 5: Solve for x
    x = 136,251.18/321.50
  6. Step 6: Final answer
    x = 423.80

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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.