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Finding the Fourth Proportional to 343.70, 474.08 and 238.62

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Solution

The fourth proportional to 343.70, 474.08 and 238.62 is: 329.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.70 : 474.08 = 238.62 : x
  2. Step 2: Convert to fraction form
    343.70/474.08 = 238.62/x
  3. Step 3: Cross multiply
    343.70x = 474.08 × 238.62
  4. Step 4: Simplify right side
    343.70x = 113,124.97
  5. Step 5: Solve for x
    x = 113,124.97/343.70
  6. Step 6: Final answer
    x = 329.14

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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.