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Finding the Fourth Proportional to 277.58, 380.27 and 267.19

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Solution

The fourth proportional to 277.58, 380.27 and 267.19 is: 366.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.58 : 380.27 = 267.19 : x
  2. Step 2: Convert to fraction form
    277.58/380.27 = 267.19/x
  3. Step 3: Cross multiply
    277.58x = 380.27 × 267.19
  4. Step 4: Simplify right side
    277.58x = 101,604.06
  5. Step 5: Solve for x
    x = 101,604.06/277.58
  6. Step 6: Final answer
    x = 366.04

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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.