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Finding the Fourth Proportional to 481.61, 664.52 and 295.14

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Solution

The fourth proportional to 481.61, 664.52 and 295.14 is: 407.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.61 : 664.52 = 295.14 : x
  2. Step 2: Convert to fraction form
    481.61/664.52 = 295.14/x
  3. Step 3: Cross multiply
    481.61x = 664.52 × 295.14
  4. Step 4: Simplify right side
    481.61x = 196,122.47
  5. Step 5: Solve for x
    x = 196,122.47/481.61
  6. Step 6: Final answer
    x = 407.23

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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.