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Finding the Fourth Proportional to 340.82, 470.41 and 216.38

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Solution

The fourth proportional to 340.82, 470.41 and 216.38 is: 298.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.82 : 470.41 = 216.38 : x
  2. Step 2: Convert to fraction form
    340.82/470.41 = 216.38/x
  3. Step 3: Cross multiply
    340.82x = 470.41 × 216.38
  4. Step 4: Simplify right side
    340.82x = 101,787.95
  5. Step 5: Solve for x
    x = 101,787.95/340.82
  6. Step 6: Final answer
    x = 298.66

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Why These Related Problems?

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