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Finding the Fourth Proportional to 382.56, 527.94 and 225.20

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Solution

The fourth proportional to 382.56, 527.94 and 225.20 is: 310.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.56 : 527.94 = 225.20 : x
  2. Step 2: Convert to fraction form
    382.56/527.94 = 225.20/x
  3. Step 3: Cross multiply
    382.56x = 527.94 × 225.20
  4. Step 4: Simplify right side
    382.56x = 118,889.45
  5. Step 5: Solve for x
    x = 118,889.45/382.56
  6. Step 6: Final answer
    x = 310.77

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Why These Related Problems?

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