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Finding the Fourth Proportional to 331.71, 496.68 and 228.49

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Solution

The fourth proportional to 331.71, 496.68 and 228.49 is: 342.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.71 : 496.68 = 228.49 : x
  2. Step 2: Convert to fraction form
    331.71/496.68 = 228.49/x
  3. Step 3: Cross multiply
    331.71x = 496.68 × 228.49
  4. Step 4: Simplify right side
    331.71x = 113,485.60
  5. Step 5: Solve for x
    x = 113,485.60/331.71
  6. Step 6: Final answer
    x = 342.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.