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Finding the Fourth Proportional to 335.56, 463.17 and 204.81

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Solution

The fourth proportional to 335.56, 463.17 and 204.81 is: 282.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.56 : 463.17 = 204.81 : x
  2. Step 2: Convert to fraction form
    335.56/463.17 = 204.81/x
  3. Step 3: Cross multiply
    335.56x = 463.17 × 204.81
  4. Step 4: Simplify right side
    335.56x = 94,861.85
  5. Step 5: Solve for x
    x = 94,861.85/335.56
  6. Step 6: Final answer
    x = 282.70

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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.