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Finding the Fourth Proportional to 481.08, 663.92 and 284.59

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Solution

The fourth proportional to 481.08, 663.92 and 284.59 is: 392.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.08 : 663.92 = 284.59 : x
  2. Step 2: Convert to fraction form
    481.08/663.92 = 284.59/x
  3. Step 3: Cross multiply
    481.08x = 663.92 × 284.59
  4. Step 4: Simplify right side
    481.08x = 188,940.25
  5. Step 5: Solve for x
    x = 188,940.25/481.08
  6. Step 6: Final answer
    x = 392.74

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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.