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Finding the Fourth Proportional to 481.78, 722.82 and 193.22

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Solution

The fourth proportional to 481.78, 722.82 and 193.22 is: 289.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.78 : 722.82 = 193.22 : x
  2. Step 2: Convert to fraction form
    481.78/722.82 = 193.22/x
  3. Step 3: Cross multiply
    481.78x = 722.82 × 193.22
  4. Step 4: Simplify right side
    481.78x = 139,663.10
  5. Step 5: Solve for x
    x = 139,663.10/481.78
  6. Step 6: Final answer
    x = 289.89

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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.