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Finding the Fourth Proportional to 312.12, 428.76 and 267.84

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Solution

The fourth proportional to 312.12, 428.76 and 267.84 is: 367.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.12 : 428.76 = 267.84 : x
  2. Step 2: Convert to fraction form
    312.12/428.76 = 267.84/x
  3. Step 3: Cross multiply
    312.12x = 428.76 × 267.84
  4. Step 4: Simplify right side
    312.12x = 114,839.08
  5. Step 5: Solve for x
    x = 114,839.08/312.12
  6. Step 6: Final answer
    x = 367.93

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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.