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Finding the Fourth Proportional to 425.45, 638.18 and 219.89

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Solution

The fourth proportional to 425.45, 638.18 and 219.89 is: 329.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.45 : 638.18 = 219.89 : x
  2. Step 2: Convert to fraction form
    425.45/638.18 = 219.89/x
  3. Step 3: Cross multiply
    425.45x = 638.18 × 219.89
  4. Step 4: Simplify right side
    425.45x = 140,329.40
  5. Step 5: Solve for x
    x = 140,329.40/425.45
  6. Step 6: Final answer
    x = 329.84

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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.