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Finding the Fourth Proportional to 312.28, 429.11 and 260.44

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Solution

The fourth proportional to 312.28, 429.11 and 260.44 is: 357.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.28 : 429.11 = 260.44 : x
  2. Step 2: Convert to fraction form
    312.28/429.11 = 260.44/x
  3. Step 3: Cross multiply
    312.28x = 429.11 × 260.44
  4. Step 4: Simplify right side
    312.28x = 111,757.41
  5. Step 5: Solve for x
    x = 111,757.41/312.28
  6. Step 6: Final answer
    x = 357.88

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.