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Finding the Fourth Proportional to 486.44, 728.08 and 321.96

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Solution

The fourth proportional to 486.44, 728.08 and 321.96 is: 481.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.44 : 728.08 = 321.96 : x
  2. Step 2: Convert to fraction form
    486.44/728.08 = 321.96/x
  3. Step 3: Cross multiply
    486.44x = 728.08 × 321.96
  4. Step 4: Simplify right side
    486.44x = 234,412.64
  5. Step 5: Solve for x
    x = 234,412.64/486.44
  6. Step 6: Final answer
    x = 481.89

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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.