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Finding the Fourth Proportional to 321.78, 443.91 and 228.50

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Solution

The fourth proportional to 321.78, 443.91 and 228.50 is: 315.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.78 : 443.91 = 228.50 : x
  2. Step 2: Convert to fraction form
    321.78/443.91 = 228.50/x
  3. Step 3: Cross multiply
    321.78x = 443.91 × 228.50
  4. Step 4: Simplify right side
    321.78x = 101,433.44
  5. Step 5: Solve for x
    x = 101,433.44/321.78
  6. Step 6: Final answer
    x = 315.23

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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.