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Finding the Fourth Proportional to 310.82, 465.38 and 219.29

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Solution

The fourth proportional to 310.82, 465.38 and 219.29 is: 328.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.82 : 465.38 = 219.29 : x
  2. Step 2: Convert to fraction form
    310.82/465.38 = 219.29/x
  3. Step 3: Cross multiply
    310.82x = 465.38 × 219.29
  4. Step 4: Simplify right side
    310.82x = 102,052.56
  5. Step 5: Solve for x
    x = 102,052.56/310.82
  6. Step 6: Final answer
    x = 328.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.