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Finding the Fourth Proportional to 481.47, 721.19 and 221.69

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Solution

The fourth proportional to 481.47, 721.19 and 221.69 is: 332.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.47 : 721.19 = 221.69 : x
  2. Step 2: Convert to fraction form
    481.47/721.19 = 221.69/x
  3. Step 3: Cross multiply
    481.47x = 721.19 × 221.69
  4. Step 4: Simplify right side
    481.47x = 159,875.90
  5. Step 5: Solve for x
    x = 159,875.90/481.47
  6. Step 6: Final answer
    x = 332.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.