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Finding the Fourth Proportional to 481.77, 664.41 and 334.35

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Solution

The fourth proportional to 481.77, 664.41 and 334.35 is: 461.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.77 : 664.41 = 334.35 : x
  2. Step 2: Convert to fraction form
    481.77/664.41 = 334.35/x
  3. Step 3: Cross multiply
    481.77x = 664.41 × 334.35
  4. Step 4: Simplify right side
    481.77x = 222,145.48
  5. Step 5: Solve for x
    x = 222,145.48/481.77
  6. Step 6: Final answer
    x = 461.10

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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.