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Finding the Fourth Proportional to 310.90, 465.82 and 219.41

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Solution

The fourth proportional to 310.90, 465.82 and 219.41 is: 328.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.90 : 465.82 = 219.41 : x
  2. Step 2: Convert to fraction form
    310.90/465.82 = 219.41/x
  3. Step 3: Cross multiply
    310.90x = 465.82 × 219.41
  4. Step 4: Simplify right side
    310.90x = 102,205.57
  5. Step 5: Solve for x
    x = 102,205.57/310.90
  6. Step 6: Final answer
    x = 328.74

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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.