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Finding the Fourth Proportional to 335.25, 462.65 and 204.24

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Solution

The fourth proportional to 335.25, 462.65 and 204.24 is: 281.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.25 : 462.65 = 204.24 : x
  2. Step 2: Convert to fraction form
    335.25/462.65 = 204.24/x
  3. Step 3: Cross multiply
    335.25x = 462.65 × 204.24
  4. Step 4: Simplify right side
    335.25x = 94,490.61
  5. Step 5: Solve for x
    x = 94,490.61/335.25
  6. Step 6: Final answer
    x = 281.85

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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.