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Finding the Fourth Proportional to 312.28, 431 and 214.26

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Solution

The fourth proportional to 312.28, 431 and 214.26 is: 295.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.28 : 431 = 214.26 : x
  2. Step 2: Convert to fraction form
    312.28/431 = 214.26/x
  3. Step 3: Cross multiply
    312.28x = 431 × 214.26
  4. Step 4: Simplify right side
    312.28x = 92,346.06
  5. Step 5: Solve for x
    x = 92,346.06/312.28
  6. Step 6: Final answer
    x = 295.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.