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Finding the Fourth Proportional to 312.44, 430.46 and 246.92

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Solution

The fourth proportional to 312.44, 430.46 and 246.92 is: 340.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.44 : 430.46 = 246.92 : x
  2. Step 2: Convert to fraction form
    312.44/430.46 = 246.92/x
  3. Step 3: Cross multiply
    312.44x = 430.46 × 246.92
  4. Step 4: Simplify right side
    312.44x = 106,289.18
  5. Step 5: Solve for x
    x = 106,289.18/312.44
  6. Step 6: Final answer
    x = 340.19

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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.