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Finding the Fourth Proportional to 456.96, 685.44 and 213.48

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Solution

The fourth proportional to 456.96, 685.44 and 213.48 is: 320.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.96 : 685.44 = 213.48 : x
  2. Step 2: Convert to fraction form
    456.96/685.44 = 213.48/x
  3. Step 3: Cross multiply
    456.96x = 685.44 × 213.48
  4. Step 4: Simplify right side
    456.96x = 146,327.73
  5. Step 5: Solve for x
    x = 146,327.73/456.96
  6. Step 6: Final answer
    x = 320.22

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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.