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Finding the Fourth Proportional to 845.65, 1,268.33 and 229.27

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Solution

The fourth proportional to 845.65, 1,268.33 and 229.27 is: 343.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.65 : 1,268.33 = 229.27 : x
  2. Step 2: Convert to fraction form
    845.65/1,268.33 = 229.27/x
  3. Step 3: Cross multiply
    845.65x = 1,268.33 × 229.27
  4. Step 4: Simplify right side
    845.65x = 290,790.02
  5. Step 5: Solve for x
    x = 290,790.02/845.65
  6. Step 6: Final answer
    x = 343.87

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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.