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Finding the Fourth Proportional to 382.97, 528.50 and 225.59

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Solution

The fourth proportional to 382.97, 528.50 and 225.59 is: 311.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.97 : 528.50 = 225.59 : x
  2. Step 2: Convert to fraction form
    382.97/528.50 = 225.59/x
  3. Step 3: Cross multiply
    382.97x = 528.50 × 225.59
  4. Step 4: Simplify right side
    382.97x = 119,220.54
  5. Step 5: Solve for x
    x = 119,220.54/382.97
  6. Step 6: Final answer
    x = 311.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.