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Finding the Fourth Proportional to 331.30, 494.15 and 308.62

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Solution

The fourth proportional to 331.30, 494.15 and 308.62 is: 460.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.30 : 494.15 = 308.62 : x
  2. Step 2: Convert to fraction form
    331.30/494.15 = 308.62/x
  3. Step 3: Cross multiply
    331.30x = 494.15 × 308.62
  4. Step 4: Simplify right side
    331.30x = 152,504.57
  5. Step 5: Solve for x
    x = 152,504.57/331.30
  6. Step 6: Final answer
    x = 460.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.