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Finding the Fourth Proportional to 341.26, 470.82 and 224.62

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Solution

The fourth proportional to 341.26, 470.82 and 224.62 is: 309.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.26 : 470.82 = 224.62 : x
  2. Step 2: Convert to fraction form
    341.26/470.82 = 224.62/x
  3. Step 3: Cross multiply
    341.26x = 470.82 × 224.62
  4. Step 4: Simplify right side
    341.26x = 105,755.59
  5. Step 5: Solve for x
    x = 105,755.59/341.26
  6. Step 6: Final answer
    x = 309.90

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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.