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Finding the Fourth Proportional to 312.48, 431.08 and 246.88

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Solution

The fourth proportional to 312.48, 431.08 and 246.88 is: 340.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.48 : 431.08 = 246.88 : x
  2. Step 2: Convert to fraction form
    312.48/431.08 = 246.88/x
  3. Step 3: Cross multiply
    312.48x = 431.08 × 246.88
  4. Step 4: Simplify right side
    312.48x = 106,425.03
  5. Step 5: Solve for x
    x = 106,425.03/312.48
  6. Step 6: Final answer
    x = 340.58

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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.