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Finding the Fourth Proportional to 297.05, 409.96 and 214.43

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Solution

The fourth proportional to 297.05, 409.96 and 214.43 is: 295.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.05 : 409.96 = 214.43 : x
  2. Step 2: Convert to fraction form
    297.05/409.96 = 214.43/x
  3. Step 3: Cross multiply
    297.05x = 409.96 × 214.43
  4. Step 4: Simplify right side
    297.05x = 87,905.94
  5. Step 5: Solve for x
    x = 87,905.94/297.05
  6. Step 6: Final answer
    x = 295.93

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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.