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Finding the Fourth Proportional to 285.44, 394.13 and 219.83

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Solution

The fourth proportional to 285.44, 394.13 and 219.83 is: 303.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.44 : 394.13 = 219.83 : x
  2. Step 2: Convert to fraction form
    285.44/394.13 = 219.83/x
  3. Step 3: Cross multiply
    285.44x = 394.13 × 219.83
  4. Step 4: Simplify right side
    285.44x = 86,640.18
  5. Step 5: Solve for x
    x = 86,640.18/285.44
  6. Step 6: Final answer
    x = 303.54

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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.