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Finding the Fourth Proportional to 402.14, 603.15 and 219.89

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Solution

The fourth proportional to 402.14, 603.15 and 219.89 is: 329.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.14 : 603.15 = 219.89 : x
  2. Step 2: Convert to fraction form
    402.14/603.15 = 219.89/x
  3. Step 3: Cross multiply
    402.14x = 603.15 × 219.89
  4. Step 4: Simplify right side
    402.14x = 132,626.65
  5. Step 5: Solve for x
    x = 132,626.65/402.14
  6. Step 6: Final answer
    x = 329.80

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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.