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Finding the Fourth Proportional to 343.29, 473.81 and 203.49

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Solution

The fourth proportional to 343.29, 473.81 and 203.49 is: 280.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.29 : 473.81 = 203.49 : x
  2. Step 2: Convert to fraction form
    343.29/473.81 = 203.49/x
  3. Step 3: Cross multiply
    343.29x = 473.81 × 203.49
  4. Step 4: Simplify right side
    343.29x = 96,417.68
  5. Step 5: Solve for x
    x = 96,417.68/343.29
  6. Step 6: Final answer
    x = 280.86

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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.