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Finding the Fourth Proportional to 425.43, 637.83 and 206.05

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Solution

The fourth proportional to 425.43, 637.83 and 206.05 is: 308.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.43 : 637.83 = 206.05 : x
  2. Step 2: Convert to fraction form
    425.43/637.83 = 206.05/x
  3. Step 3: Cross multiply
    425.43x = 637.83 × 206.05
  4. Step 4: Simplify right side
    425.43x = 131,424.87
  5. Step 5: Solve for x
    x = 131,424.87/425.43
  6. Step 6: Final answer
    x = 308.92

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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.