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Finding the Fourth Proportional to 335.90, 463.54 and 204.86

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Solution

The fourth proportional to 335.90, 463.54 and 204.86 is: 282.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.90 : 463.54 = 204.86 : x
  2. Step 2: Convert to fraction form
    335.90/463.54 = 204.86/x
  3. Step 3: Cross multiply
    335.90x = 463.54 × 204.86
  4. Step 4: Simplify right side
    335.90x = 94,960.80
  5. Step 5: Solve for x
    x = 94,960.80/335.90
  6. Step 6: Final answer
    x = 282.71

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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.