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Finding the Fourth Proportional to 382.76, 528.06 and 227.54

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Solution

The fourth proportional to 382.76, 528.06 and 227.54 is: 313.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.76 : 528.06 = 227.54 : x
  2. Step 2: Convert to fraction form
    382.76/528.06 = 227.54/x
  3. Step 3: Cross multiply
    382.76x = 528.06 × 227.54
  4. Step 4: Simplify right side
    382.76x = 120,154.77
  5. Step 5: Solve for x
    x = 120,154.77/382.76
  6. Step 6: Final answer
    x = 313.92

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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.