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Finding the Fourth Proportional to 341.80, 471.94 and 238.44

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Solution

The fourth proportional to 341.80, 471.94 and 238.44 is: 329.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.80 : 471.94 = 238.44 : x
  2. Step 2: Convert to fraction form
    341.80/471.94 = 238.44/x
  3. Step 3: Cross multiply
    341.80x = 471.94 × 238.44
  4. Step 4: Simplify right side
    341.80x = 112,529.37
  5. Step 5: Solve for x
    x = 112,529.37/341.80
  6. Step 6: Final answer
    x = 329.23

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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.