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Finding the Fourth Proportional to 456.44, 684.82 and 273.96

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Solution

The fourth proportional to 456.44, 684.82 and 273.96 is: 411.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.44 : 684.82 = 273.96 : x
  2. Step 2: Convert to fraction form
    456.44/684.82 = 273.96/x
  3. Step 3: Cross multiply
    456.44x = 684.82 × 273.96
  4. Step 4: Simplify right side
    456.44x = 187,613.29
  5. Step 5: Solve for x
    x = 187,613.29/456.44
  6. Step 6: Final answer
    x = 411.04

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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.