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Finding the Fourth Proportional to 481.26, 662.40 and 411.09

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Solution

The fourth proportional to 481.26, 662.40 and 411.09 is: 565.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.26 : 662.40 = 411.09 : x
  2. Step 2: Convert to fraction form
    481.26/662.40 = 411.09/x
  3. Step 3: Cross multiply
    481.26x = 662.40 × 411.09
  4. Step 4: Simplify right side
    481.26x = 272,306.02
  5. Step 5: Solve for x
    x = 272,306.02/481.26
  6. Step 6: Final answer
    x = 565.82

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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.