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Finding the Fourth Proportional to 684.19, 1,026.74 and 273.41

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Solution

The fourth proportional to 684.19, 1,026.74 and 273.41 is: 410.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.19 : 1,026.74 = 273.41 : x
  2. Step 2: Convert to fraction form
    684.19/1,026.74 = 273.41/x
  3. Step 3: Cross multiply
    684.19x = 1,026.74 × 273.41
  4. Step 4: Simplify right side
    684.19x = 280,720.98
  5. Step 5: Solve for x
    x = 280,720.98/684.19
  6. Step 6: Final answer
    x = 410.30

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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.