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Finding the Fourth Proportional to 911.46, 1,367.09 and 253.39

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Solution

The fourth proportional to 911.46, 1,367.09 and 253.39 is: 380.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.46 : 1,367.09 = 253.39 : x
  2. Step 2: Convert to fraction form
    911.46/1,367.09 = 253.39/x
  3. Step 3: Cross multiply
    911.46x = 1,367.09 × 253.39
  4. Step 4: Simplify right side
    911.46x = 346,406.94
  5. Step 5: Solve for x
    x = 346,406.94/911.46
  6. Step 6: Final answer
    x = 380.06

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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.