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Finding the Fourth Proportional to 423.39, 634.73 and 308.19

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Solution

The fourth proportional to 423.39, 634.73 and 308.19 is: 462.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.39 : 634.73 = 308.19 : x
  2. Step 2: Convert to fraction form
    423.39/634.73 = 308.19/x
  3. Step 3: Cross multiply
    423.39x = 634.73 × 308.19
  4. Step 4: Simplify right side
    423.39x = 195,615.90
  5. Step 5: Solve for x
    x = 195,615.90/423.39
  6. Step 6: Final answer
    x = 462.02

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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.