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Finding the Fourth Proportional to 492.76, 680.04 and 326.86

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Solution

The fourth proportional to 492.76, 680.04 and 326.86 is: 451.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.76 : 680.04 = 326.86 : x
  2. Step 2: Convert to fraction form
    492.76/680.04 = 326.86/x
  3. Step 3: Cross multiply
    492.76x = 680.04 × 326.86
  4. Step 4: Simplify right side
    492.76x = 222,277.87
  5. Step 5: Solve for x
    x = 222,277.87/492.76
  6. Step 6: Final answer
    x = 451.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.