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Finding the Fourth Proportional to 666.26, 999.34 and 276.14

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Solution

The fourth proportional to 666.26, 999.34 and 276.14 is: 414.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.26 : 999.34 = 276.14 : x
  2. Step 2: Convert to fraction form
    666.26/999.34 = 276.14/x
  3. Step 3: Cross multiply
    666.26x = 999.34 × 276.14
  4. Step 4: Simplify right side
    666.26x = 275,959.56
  5. Step 5: Solve for x
    x = 275,959.56/666.26
  6. Step 6: Final answer
    x = 414.19

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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.