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Finding the Fourth Proportional to 335.48, 462.94 and 204.47

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Solution

The fourth proportional to 335.48, 462.94 and 204.47 is: 282.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.48 : 462.94 = 204.47 : x
  2. Step 2: Convert to fraction form
    335.48/462.94 = 204.47/x
  3. Step 3: Cross multiply
    335.48x = 462.94 × 204.47
  4. Step 4: Simplify right side
    335.48x = 94,654.52
  5. Step 5: Solve for x
    x = 94,654.52/335.48
  6. Step 6: Final answer
    x = 282.14

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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.