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Finding the Fourth Proportional to 312.39, 431.20 and 214.43

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Solution

The fourth proportional to 312.39, 431.20 and 214.43 is: 295.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.39 : 431.20 = 214.43 : x
  2. Step 2: Convert to fraction form
    312.39/431.20 = 214.43/x
  3. Step 3: Cross multiply
    312.39x = 431.20 × 214.43
  4. Step 4: Simplify right side
    312.39x = 92,462.15
  5. Step 5: Solve for x
    x = 92,462.15/312.39
  6. Step 6: Final answer
    x = 295.98

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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.