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Finding the Fourth Proportional to 845.41, 1,268.11 and 268.28

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Solution

The fourth proportional to 845.41, 1,268.11 and 268.28 is: 402.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.41 : 1,268.11 = 268.28 : x
  2. Step 2: Convert to fraction form
    845.41/1,268.11 = 268.28/x
  3. Step 3: Cross multiply
    845.41x = 1,268.11 × 268.28
  4. Step 4: Simplify right side
    845.41x = 340,208.55
  5. Step 5: Solve for x
    x = 340,208.55/845.41
  6. Step 6: Final answer
    x = 402.42

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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.