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Finding the Fourth Proportional to 423.21, 634.38 and 206.34

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Solution

The fourth proportional to 423.21, 634.38 and 206.34 is: 309.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.21 : 634.38 = 206.34 : x
  2. Step 2: Convert to fraction form
    423.21/634.38 = 206.34/x
  3. Step 3: Cross multiply
    423.21x = 634.38 × 206.34
  4. Step 4: Simplify right side
    423.21x = 130,897.97
  5. Step 5: Solve for x
    x = 130,897.97/423.21
  6. Step 6: Final answer
    x = 309.30

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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.