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Finding the Fourth Proportional to 684.11, 1,026.27 and 273.24

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Solution

The fourth proportional to 684.11, 1,026.27 and 273.24 is: 409.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.11 : 1,026.27 = 273.24 : x
  2. Step 2: Convert to fraction form
    684.11/1,026.27 = 273.24/x
  3. Step 3: Cross multiply
    684.11x = 1,026.27 × 273.24
  4. Step 4: Simplify right side
    684.11x = 280,418.01
  5. Step 5: Solve for x
    x = 280,418.01/684.11
  6. Step 6: Final answer
    x = 409.90

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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.