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Finding the Fourth Proportional to 492.80, 679.64 and 326.88

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Solution

The fourth proportional to 492.80, 679.64 and 326.88 is: 450.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.80 : 679.64 = 326.88 : x
  2. Step 2: Convert to fraction form
    492.80/679.64 = 326.88/x
  3. Step 3: Cross multiply
    492.80x = 679.64 × 326.88
  4. Step 4: Simplify right side
    492.80x = 222,160.72
  5. Step 5: Solve for x
    x = 222,160.72/492.80
  6. Step 6: Final answer
    x = 450.81

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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.