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Finding the Fourth Proportional to 481.72, 662.37 and 411.49

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Solution

The fourth proportional to 481.72, 662.37 and 411.49 is: 565.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.72 : 662.37 = 411.49 : x
  2. Step 2: Convert to fraction form
    481.72/662.37 = 411.49/x
  3. Step 3: Cross multiply
    481.72x = 662.37 × 411.49
  4. Step 4: Simplify right side
    481.72x = 272,558.63
  5. Step 5: Solve for x
    x = 272,558.63/481.72
  6. Step 6: Final answer
    x = 565.80

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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.