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Finding the Fourth Proportional to 277.26, 412.99 and 276.30

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Solution

The fourth proportional to 277.26, 412.99 and 276.30 is: 411.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.26 : 412.99 = 276.30 : x
  2. Step 2: Convert to fraction form
    277.26/412.99 = 276.30/x
  3. Step 3: Cross multiply
    277.26x = 412.99 × 276.30
  4. Step 4: Simplify right side
    277.26x = 114,109.14
  5. Step 5: Solve for x
    x = 114,109.14/277.26
  6. Step 6: Final answer
    x = 411.56

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.