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Finding the Fourth Proportional to 297.40, 409.98 and 223.72

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Solution

The fourth proportional to 297.40, 409.98 and 223.72 is: 308.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.40 : 409.98 = 223.72 : x
  2. Step 2: Convert to fraction form
    297.40/409.98 = 223.72/x
  3. Step 3: Cross multiply
    297.40x = 409.98 × 223.72
  4. Step 4: Simplify right side
    297.40x = 91,720.73
  5. Step 5: Solve for x
    x = 91,720.73/297.40
  6. Step 6: Final answer
    x = 308.41

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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.