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Finding the Fourth Proportional to 466.25, 698.16 and 329.09

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Solution

The fourth proportional to 466.25, 698.16 and 329.09 is: 492.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.25 : 698.16 = 329.09 : x
  2. Step 2: Convert to fraction form
    466.25/698.16 = 329.09/x
  3. Step 3: Cross multiply
    466.25x = 698.16 × 329.09
  4. Step 4: Simplify right side
    466.25x = 229,757.47
  5. Step 5: Solve for x
    x = 229,757.47/466.25
  6. Step 6: Final answer
    x = 492.78

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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.