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Finding the Fourth Proportional to 481.06, 663.90 and 284.54

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Solution

The fourth proportional to 481.06, 663.90 and 284.54 is: 392.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.06 : 663.90 = 284.54 : x
  2. Step 2: Convert to fraction form
    481.06/663.90 = 284.54/x
  3. Step 3: Cross multiply
    481.06x = 663.90 × 284.54
  4. Step 4: Simplify right side
    481.06x = 188,902.79
  5. Step 5: Solve for x
    x = 188,902.79/481.06
  6. Step 6: Final answer
    x = 392.68

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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.