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Finding the Fourth Proportional to 457.33, 685.09 and 423.62

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Solution

The fourth proportional to 457.33, 685.09 and 423.62 is: 634.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.33 : 685.09 = 423.62 : x
  2. Step 2: Convert to fraction form
    457.33/685.09 = 423.62/x
  3. Step 3: Cross multiply
    457.33x = 685.09 × 423.62
  4. Step 4: Simplify right side
    457.33x = 290,217.83
  5. Step 5: Solve for x
    x = 290,217.83/457.33
  6. Step 6: Final answer
    x = 634.59

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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.