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Finding the Fourth Proportional to 481.53, 664.16 and 442.31

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Solution

The fourth proportional to 481.53, 664.16 and 442.31 is: 610.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.53 : 664.16 = 442.31 : x
  2. Step 2: Convert to fraction form
    481.53/664.16 = 442.31/x
  3. Step 3: Cross multiply
    481.53x = 664.16 × 442.31
  4. Step 4: Simplify right side
    481.53x = 293,759.08
  5. Step 5: Solve for x
    x = 293,759.08/481.53
  6. Step 6: Final answer
    x = 610.05

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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.