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Finding the Fourth Proportional to 481.36, 664.05 and 415.75

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Solution

The fourth proportional to 481.36, 664.05 and 415.75 is: 573.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.36 : 664.05 = 415.75 : x
  2. Step 2: Convert to fraction form
    481.36/664.05 = 415.75/x
  3. Step 3: Cross multiply
    481.36x = 664.05 × 415.75
  4. Step 4: Simplify right side
    481.36x = 276,078.79
  5. Step 5: Solve for x
    x = 276,078.79/481.36
  6. Step 6: Final answer
    x = 573.54

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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.