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Finding the Fourth Proportional to 441.06, 660.65 and 276.09

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Solution

The fourth proportional to 441.06, 660.65 and 276.09 is: 413.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.06 : 660.65 = 276.09 : x
  2. Step 2: Convert to fraction form
    441.06/660.65 = 276.09/x
  3. Step 3: Cross multiply
    441.06x = 660.65 × 276.09
  4. Step 4: Simplify right side
    441.06x = 182,397.48
  5. Step 5: Solve for x
    x = 182,397.48/441.06
  6. Step 6: Final answer
    x = 413.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.