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Finding the Fourth Proportional to 311.36, 466.74 and 276.94

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Solution

The fourth proportional to 311.36, 466.74 and 276.94 is: 415.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.36 : 466.74 = 276.94 : x
  2. Step 2: Convert to fraction form
    311.36/466.74 = 276.94/x
  3. Step 3: Cross multiply
    311.36x = 466.74 × 276.94
  4. Step 4: Simplify right side
    311.36x = 129,258.98
  5. Step 5: Solve for x
    x = 129,258.98/311.36
  6. Step 6: Final answer
    x = 415.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.