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Finding the Fourth Proportional to 481.92, 722.40 and 193.14

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Solution

The fourth proportional to 481.92, 722.40 and 193.14 is: 289.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.92 : 722.40 = 193.14 : x
  2. Step 2: Convert to fraction form
    481.92/722.40 = 193.14/x
  3. Step 3: Cross multiply
    481.92x = 722.40 × 193.14
  4. Step 4: Simplify right side
    481.92x = 139,524.34
  5. Step 5: Solve for x
    x = 139,524.34/481.92
  6. Step 6: Final answer
    x = 289.52

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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.