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Finding the Fourth Proportional to 382.56, 527.96 and 225.32

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Solution

The fourth proportional to 382.56, 527.96 and 225.32 is: 310.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.56 : 527.96 = 225.32 : x
  2. Step 2: Convert to fraction form
    382.56/527.96 = 225.32/x
  3. Step 3: Cross multiply
    382.56x = 527.96 × 225.32
  4. Step 4: Simplify right side
    382.56x = 118,956.18
  5. Step 5: Solve for x
    x = 118,956.18/382.56
  6. Step 6: Final answer
    x = 310.95

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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.