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Finding the Fourth Proportional to 605.44, 906.80 and 280.13

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Solution

The fourth proportional to 605.44, 906.80 and 280.13 is: 419.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.44 : 906.80 = 280.13 : x
  2. Step 2: Convert to fraction form
    605.44/906.80 = 280.13/x
  3. Step 3: Cross multiply
    605.44x = 906.80 × 280.13
  4. Step 4: Simplify right side
    605.44x = 254,015.95
  5. Step 5: Solve for x
    x = 254,015.95/605.44
  6. Step 6: Final answer
    x = 419.56

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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.