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Finding the Fourth Proportional to 343.28, 473.80 and 203.48

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Solution

The fourth proportional to 343.28, 473.80 and 203.48 is: 280.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.28 : 473.80 = 203.48 : x
  2. Step 2: Convert to fraction form
    343.28/473.80 = 203.48/x
  3. Step 3: Cross multiply
    343.28x = 473.80 × 203.48
  4. Step 4: Simplify right side
    343.28x = 96,408.82
  5. Step 5: Solve for x
    x = 96,408.82/343.28
  6. Step 6: Final answer
    x = 280.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.