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Finding the Fourth Proportional to 487.23, 731.06 and 270.96

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Solution

The fourth proportional to 487.23, 731.06 and 270.96 is: 406.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.23 : 731.06 = 270.96 : x
  2. Step 2: Convert to fraction form
    487.23/731.06 = 270.96/x
  3. Step 3: Cross multiply
    487.23x = 731.06 × 270.96
  4. Step 4: Simplify right side
    487.23x = 198,086.66
  5. Step 5: Solve for x
    x = 198,086.66/487.23
  6. Step 6: Final answer
    x = 406.56

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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.