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Finding the Fourth Proportional to 456.67, 684.31 and 273.86

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Solution

The fourth proportional to 456.67, 684.31 and 273.86 is: 410.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.67 : 684.31 = 273.86 : x
  2. Step 2: Convert to fraction form
    456.67/684.31 = 273.86/x
  3. Step 3: Cross multiply
    456.67x = 684.31 × 273.86
  4. Step 4: Simplify right side
    456.67x = 187,405.14
  5. Step 5: Solve for x
    x = 187,405.14/456.67
  6. Step 6: Final answer
    x = 410.38

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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.