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Finding the Fourth Proportional to 481.89, 723.12 and 193.32

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Solution

The fourth proportional to 481.89, 723.12 and 193.32 is: 290.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.89 : 723.12 = 193.32 : x
  2. Step 2: Convert to fraction form
    481.89/723.12 = 193.32/x
  3. Step 3: Cross multiply
    481.89x = 723.12 × 193.32
  4. Step 4: Simplify right side
    481.89x = 139,793.56
  5. Step 5: Solve for x
    x = 139,793.56/481.89
  6. Step 6: Final answer
    x = 290.09

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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.