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Finding the Fourth Proportional to 402.14, 603.90 and 219.67

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Solution

The fourth proportional to 402.14, 603.90 and 219.67 is: 329.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.14 : 603.90 = 219.67 : x
  2. Step 2: Convert to fraction form
    402.14/603.90 = 219.67/x
  3. Step 3: Cross multiply
    402.14x = 603.90 × 219.67
  4. Step 4: Simplify right side
    402.14x = 132,657.20
  5. Step 5: Solve for x
    x = 132,657.20/402.14
  6. Step 6: Final answer
    x = 329.88

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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.