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Finding the Fourth Proportional to 382.23, 573.01 and 233.75

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Solution

The fourth proportional to 382.23, 573.01 and 233.75 is: 350.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.23 : 573.01 = 233.75 : x
  2. Step 2: Convert to fraction form
    382.23/573.01 = 233.75/x
  3. Step 3: Cross multiply
    382.23x = 573.01 × 233.75
  4. Step 4: Simplify right side
    382.23x = 133,941.94
  5. Step 5: Solve for x
    x = 133,941.94/382.23
  6. Step 6: Final answer
    x = 350.42

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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.