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Finding the Fourth Proportional to 343.70, 474.09 and 219.31

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Solution

The fourth proportional to 343.70, 474.09 and 219.31 is: 302.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.70 : 474.09 = 219.31 : x
  2. Step 2: Convert to fraction form
    343.70/474.09 = 219.31/x
  3. Step 3: Cross multiply
    343.70x = 474.09 × 219.31
  4. Step 4: Simplify right side
    343.70x = 103,973.34
  5. Step 5: Solve for x
    x = 103,973.34/343.70
  6. Step 6: Final answer
    x = 302.51

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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.