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Finding the Fourth Proportional to 383.06, 528.73 and 227.81

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Solution

The fourth proportional to 383.06, 528.73 and 227.81 is: 314.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.06 : 528.73 = 227.81 : x
  2. Step 2: Convert to fraction form
    383.06/528.73 = 227.81/x
  3. Step 3: Cross multiply
    383.06x = 528.73 × 227.81
  4. Step 4: Simplify right side
    383.06x = 120,450.73
  5. Step 5: Solve for x
    x = 120,450.73/383.06
  6. Step 6: Final answer
    x = 314.44

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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.