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Finding the Fourth Proportional to 481.80, 665.64 and 408.92

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Solution

The fourth proportional to 481.80, 665.64 and 408.92 is: 564.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.80 : 665.64 = 408.92 : x
  2. Step 2: Convert to fraction form
    481.80/665.64 = 408.92/x
  3. Step 3: Cross multiply
    481.80x = 665.64 × 408.92
  4. Step 4: Simplify right side
    481.80x = 272,193.51
  5. Step 5: Solve for x
    x = 272,193.51/481.80
  6. Step 6: Final answer
    x = 564.95

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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.