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Finding the Fourth Proportional to 335.31, 462.83 and 204.56

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Solution

The fourth proportional to 335.31, 462.83 and 204.56 is: 282.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.31 : 462.83 = 204.56 : x
  2. Step 2: Convert to fraction form
    335.31/462.83 = 204.56/x
  3. Step 3: Cross multiply
    335.31x = 462.83 × 204.56
  4. Step 4: Simplify right side
    335.31x = 94,673.17
  5. Step 5: Solve for x
    x = 94,673.17/335.31
  6. Step 6: Final answer
    x = 282.35

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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.