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Finding the Fourth Proportional to 310.75, 466.34 and 219.53

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Solution

The fourth proportional to 310.75, 466.34 and 219.53 is: 329.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.75 : 466.34 = 219.53 : x
  2. Step 2: Convert to fraction form
    310.75/466.34 = 219.53/x
  3. Step 3: Cross multiply
    310.75x = 466.34 × 219.53
  4. Step 4: Simplify right side
    310.75x = 102,375.62
  5. Step 5: Solve for x
    x = 102,375.62/310.75
  6. Step 6: Final answer
    x = 329.45

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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.