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Finding the Fourth Proportional to 341.94, 470.96 and 338.44

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Solution

The fourth proportional to 341.94, 470.96 and 338.44 is: 466.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.94 : 470.96 = 338.44 : x
  2. Step 2: Convert to fraction form
    341.94/470.96 = 338.44/x
  3. Step 3: Cross multiply
    341.94x = 470.96 × 338.44
  4. Step 4: Simplify right side
    341.94x = 159,391.70
  5. Step 5: Solve for x
    x = 159,391.70/341.94
  6. Step 6: Final answer
    x = 466.14

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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.