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Finding the Fourth Proportional to 684.32, 1,026.17 and 273.35

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Solution

The fourth proportional to 684.32, 1,026.17 and 273.35 is: 409.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.32 : 1,026.17 = 273.35 : x
  2. Step 2: Convert to fraction form
    684.32/1,026.17 = 273.35/x
  3. Step 3: Cross multiply
    684.32x = 1,026.17 × 273.35
  4. Step 4: Simplify right side
    684.32x = 280,497.07
  5. Step 5: Solve for x
    x = 280,497.07/684.32
  6. Step 6: Final answer
    x = 409.89

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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.