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Finding the Fourth Proportional to 322.10, 443.97 and 228.84

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Solution

The fourth proportional to 322.10, 443.97 and 228.84 is: 315.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.10 : 443.97 = 228.84 : x
  2. Step 2: Convert to fraction form
    322.10/443.97 = 228.84/x
  3. Step 3: Cross multiply
    322.10x = 443.97 × 228.84
  4. Step 4: Simplify right side
    322.10x = 101,598.09
  5. Step 5: Solve for x
    x = 101,598.09/322.10
  6. Step 6: Final answer
    x = 315.43

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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.