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Finding the Fourth Proportional to 481.60, 722.24 and 193.12

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Solution

The fourth proportional to 481.60, 722.24 and 193.12 is: 289.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.60 : 722.24 = 193.12 : x
  2. Step 2: Convert to fraction form
    481.60/722.24 = 193.12/x
  3. Step 3: Cross multiply
    481.60x = 722.24 × 193.12
  4. Step 4: Simplify right side
    481.60x = 139,478.99
  5. Step 5: Solve for x
    x = 139,478.99/481.60
  6. Step 6: Final answer
    x = 289.62

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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.