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Finding the Fourth Proportional to 425.30, 638.05 and 206.03

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Solution

The fourth proportional to 425.30, 638.05 and 206.03 is: 309.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.30 : 638.05 = 206.03 : x
  2. Step 2: Convert to fraction form
    425.30/638.05 = 206.03/x
  3. Step 3: Cross multiply
    425.30x = 638.05 × 206.03
  4. Step 4: Simplify right side
    425.30x = 131,456.09
  5. Step 5: Solve for x
    x = 131,456.09/425.30
  6. Step 6: Final answer
    x = 309.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.