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Finding the Fourth Proportional to 335.41, 462.89 and 204.43

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Solution

The fourth proportional to 335.41, 462.89 and 204.43 is: 282.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.41 : 462.89 = 204.43 : x
  2. Step 2: Convert to fraction form
    335.41/462.89 = 204.43/x
  3. Step 3: Cross multiply
    335.41x = 462.89 × 204.43
  4. Step 4: Simplify right side
    335.41x = 94,628.60
  5. Step 5: Solve for x
    x = 94,628.60/335.41
  6. Step 6: Final answer
    x = 282.13

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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.