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Finding the Fourth Proportional to 335.09, 461.94 and 224.33

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Solution

The fourth proportional to 335.09, 461.94 and 224.33 is: 309.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.09 : 461.94 = 224.33 : x
  2. Step 2: Convert to fraction form
    335.09/461.94 = 224.33/x
  3. Step 3: Cross multiply
    335.09x = 461.94 × 224.33
  4. Step 4: Simplify right side
    335.09x = 103,624.69
  5. Step 5: Solve for x
    x = 103,624.69/335.09
  6. Step 6: Final answer
    x = 309.25

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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.