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Finding the Fourth Proportional to 481.92, 664.38 and 407.94

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Solution

The fourth proportional to 481.92, 664.38 and 407.94 is: 562.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.92 : 664.38 = 407.94 : x
  2. Step 2: Convert to fraction form
    481.92/664.38 = 407.94/x
  3. Step 3: Cross multiply
    481.92x = 664.38 × 407.94
  4. Step 4: Simplify right side
    481.92x = 271,027.18
  5. Step 5: Solve for x
    x = 271,027.18/481.92
  6. Step 6: Final answer
    x = 562.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.