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Finding the Fourth Proportional to 335.63, 463.20 and 204.62

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Solution

The fourth proportional to 335.63, 463.20 and 204.62 is: 282.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.63 : 463.20 = 204.62 : x
  2. Step 2: Convert to fraction form
    335.63/463.20 = 204.62/x
  3. Step 3: Cross multiply
    335.63x = 463.20 × 204.62
  4. Step 4: Simplify right side
    335.63x = 94,780.37
  5. Step 5: Solve for x
    x = 94,780.37/335.63
  6. Step 6: Final answer
    x = 282.39

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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.