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Finding the Fourth Proportional to 481.41, 722.12 and 442.80

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Solution

The fourth proportional to 481.41, 722.12 and 442.80 is: 664.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.41 : 722.12 = 442.80 : x
  2. Step 2: Convert to fraction form
    481.41/722.12 = 442.80/x
  3. Step 3: Cross multiply
    481.41x = 722.12 × 442.80
  4. Step 4: Simplify right side
    481.41x = 319,752.52
  5. Step 5: Solve for x
    x = 319,752.52/481.41
  6. Step 6: Final answer
    x = 664.20

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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.