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Finding the Fourth Proportional to 382.76, 528.20 and 225.41

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Solution

The fourth proportional to 382.76, 528.20 and 225.41 is: 311.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.76 : 528.20 = 225.41 : x
  2. Step 2: Convert to fraction form
    382.76/528.20 = 225.41/x
  3. Step 3: Cross multiply
    382.76x = 528.20 × 225.41
  4. Step 4: Simplify right side
    382.76x = 119,062.13
  5. Step 5: Solve for x
    x = 119,062.13/382.76
  6. Step 6: Final answer
    x = 311.06

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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.