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Finding the Fourth Proportional to 335.37, 462.90 and 204.49

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Solution

The fourth proportional to 335.37, 462.90 and 204.49 is: 282.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.37 : 462.90 = 204.49 : x
  2. Step 2: Convert to fraction form
    335.37/462.90 = 204.49/x
  3. Step 3: Cross multiply
    335.37x = 462.90 × 204.49
  4. Step 4: Simplify right side
    335.37x = 94,658.62
  5. Step 5: Solve for x
    x = 94,658.62/335.37
  6. Step 6: Final answer
    x = 282.25

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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.