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Finding the Fourth Proportional to 308.25, 460.22 and 262.62

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Solution

The fourth proportional to 308.25, 460.22 and 262.62 is: 392.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.25 : 460.22 = 262.62 : x
  2. Step 2: Convert to fraction form
    308.25/460.22 = 262.62/x
  3. Step 3: Cross multiply
    308.25x = 460.22 × 262.62
  4. Step 4: Simplify right side
    308.25x = 120,861.66
  5. Step 5: Solve for x
    x = 120,861.66/308.25
  6. Step 6: Final answer
    x = 392.09

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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.