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Finding the Fourth Proportional to 308.38, 424.28 and 266.80

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Solution

The fourth proportional to 308.38, 424.28 and 266.80 is: 367.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.38 : 424.28 = 266.80 : x
  2. Step 2: Convert to fraction form
    308.38/424.28 = 266.80/x
  3. Step 3: Cross multiply
    308.38x = 424.28 × 266.80
  4. Step 4: Simplify right side
    308.38x = 113,194.45
  5. Step 5: Solve for x
    x = 113,194.45/308.38
  6. Step 6: Final answer
    x = 367.07

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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.