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Finding the Fourth Proportional to 335.55, 462.96 and 204.60

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Solution

The fourth proportional to 335.55, 462.96 and 204.60 is: 282.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.55 : 462.96 = 204.60 : x
  2. Step 2: Convert to fraction form
    335.55/462.96 = 204.60/x
  3. Step 3: Cross multiply
    335.55x = 462.96 × 204.60
  4. Step 4: Simplify right side
    335.55x = 94,721.62
  5. Step 5: Solve for x
    x = 94,721.62/335.55
  6. Step 6: Final answer
    x = 282.29

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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.