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Finding the Fourth Proportional to 319.28, 477.26 and 276.44

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Solution

The fourth proportional to 319.28, 477.26 and 276.44 is: 413.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.28 : 477.26 = 276.44 : x
  2. Step 2: Convert to fraction form
    319.28/477.26 = 276.44/x
  3. Step 3: Cross multiply
    319.28x = 477.26 × 276.44
  4. Step 4: Simplify right side
    319.28x = 131,933.75
  5. Step 5: Solve for x
    x = 131,933.75/319.28
  6. Step 6: Final answer
    x = 413.22

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Why These Related Problems?

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