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Finding the Fourth Proportional to 485.54, 728.46 and 331.24

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Solution

The fourth proportional to 485.54, 728.46 and 331.24 is: 496.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.54 : 728.46 = 331.24 : x
  2. Step 2: Convert to fraction form
    485.54/728.46 = 331.24/x
  3. Step 3: Cross multiply
    485.54x = 728.46 × 331.24
  4. Step 4: Simplify right side
    485.54x = 241,295.09
  5. Step 5: Solve for x
    x = 241,295.09/485.54
  6. Step 6: Final answer
    x = 496.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.