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Finding the Fourth Proportional to 334.83, 461.97 and 224.31

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Solution

The fourth proportional to 334.83, 461.97 and 224.31 is: 309.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.83 : 461.97 = 224.31 : x
  2. Step 2: Convert to fraction form
    334.83/461.97 = 224.31/x
  3. Step 3: Cross multiply
    334.83x = 461.97 × 224.31
  4. Step 4: Simplify right side
    334.83x = 103,624.49
  5. Step 5: Solve for x
    x = 103,624.49/334.83
  6. Step 6: Final answer
    x = 309.48

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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.