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Finding the Fourth Proportional to 335.39, 462.42 and 224.82

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Solution

The fourth proportional to 335.39, 462.42 and 224.82 is: 309.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.39 : 462.42 = 224.82 : x
  2. Step 2: Convert to fraction form
    335.39/462.42 = 224.82/x
  3. Step 3: Cross multiply
    335.39x = 462.42 × 224.82
  4. Step 4: Simplify right side
    335.39x = 103,961.26
  5. Step 5: Solve for x
    x = 103,961.26/335.39
  6. Step 6: Final answer
    x = 309.98

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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.