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Finding the Fourth Proportional to 335.74, 463.24 and 204.66

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Solution

The fourth proportional to 335.74, 463.24 and 204.66 is: 282.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.74 : 463.24 = 204.66 : x
  2. Step 2: Convert to fraction form
    335.74/463.24 = 204.66/x
  3. Step 3: Cross multiply
    335.74x = 463.24 × 204.66
  4. Step 4: Simplify right side
    335.74x = 94,803.87
  5. Step 5: Solve for x
    x = 94,803.87/335.74
  6. Step 6: Final answer
    x = 282.37

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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.