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Finding the Fourth Proportional to 311.84, 466.97 and 277.23

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Solution

The fourth proportional to 311.84, 466.97 and 277.23 is: 415.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.84 : 466.97 = 277.23 : x
  2. Step 2: Convert to fraction form
    311.84/466.97 = 277.23/x
  3. Step 3: Cross multiply
    311.84x = 466.97 × 277.23
  4. Step 4: Simplify right side
    311.84x = 129,456.71
  5. Step 5: Solve for x
    x = 129,456.71/311.84
  6. Step 6: Final answer
    x = 415.14

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