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Finding the Fourth Proportional to 334.66, 461.71 and 203.62

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Solution

The fourth proportional to 334.66, 461.71 and 203.62 is: 280.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.66 : 461.71 = 203.62 : x
  2. Step 2: Convert to fraction form
    334.66/461.71 = 203.62/x
  3. Step 3: Cross multiply
    334.66x = 461.71 × 203.62
  4. Step 4: Simplify right side
    334.66x = 94,013.39
  5. Step 5: Solve for x
    x = 94,013.39/334.66
  6. Step 6: Final answer
    x = 280.92

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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.