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Finding the Fourth Proportional to 341.44, 471.28 and 203.52

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Solution

The fourth proportional to 341.44, 471.28 and 203.52 is: 280.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.44 : 471.28 = 203.52 : x
  2. Step 2: Convert to fraction form
    341.44/471.28 = 203.52/x
  3. Step 3: Cross multiply
    341.44x = 471.28 × 203.52
  4. Step 4: Simplify right side
    341.44x = 95,914.91
  5. Step 5: Solve for x
    x = 95,914.91/341.44
  6. Step 6: Final answer
    x = 280.91

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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.