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Finding the Fourth Proportional to 481.40, 721.68 and 192.64

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Solution

The fourth proportional to 481.40, 721.68 and 192.64 is: 288.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.40 : 721.68 = 192.64 : x
  2. Step 2: Convert to fraction form
    481.40/721.68 = 192.64/x
  3. Step 3: Cross multiply
    481.40x = 721.68 × 192.64
  4. Step 4: Simplify right side
    481.40x = 139,024.44
  5. Step 5: Solve for x
    x = 139,024.44/481.40
  6. Step 6: Final answer
    x = 288.79

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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.