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Finding the Fourth Proportional to 312.30, 431.04 and 212.85

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Solution

The fourth proportional to 312.30, 431.04 and 212.85 is: 293.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.30 : 431.04 = 212.85 : x
  2. Step 2: Convert to fraction form
    312.30/431.04 = 212.85/x
  3. Step 3: Cross multiply
    312.30x = 431.04 × 212.85
  4. Step 4: Simplify right side
    312.30x = 91,746.86
  5. Step 5: Solve for x
    x = 91,746.86/312.30
  6. Step 6: Final answer
    x = 293.78

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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.