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Finding the Fourth Proportional to 321.42, 443.94 and 228.26

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Solution

The fourth proportional to 321.42, 443.94 and 228.26 is: 315.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.42 : 443.94 = 228.26 : x
  2. Step 2: Convert to fraction form
    321.42/443.94 = 228.26/x
  3. Step 3: Cross multiply
    321.42x = 443.94 × 228.26
  4. Step 4: Simplify right side
    321.42x = 101,333.74
  5. Step 5: Solve for x
    x = 101,333.74/321.42
  6. Step 6: Final answer
    x = 315.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.