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Finding the Fourth Proportional to 426.89, 589.23 and 269.64

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Solution

The fourth proportional to 426.89, 589.23 and 269.64 is: 372.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.89 : 589.23 = 269.64 : x
  2. Step 2: Convert to fraction form
    426.89/589.23 = 269.64/x
  3. Step 3: Cross multiply
    426.89x = 589.23 × 269.64
  4. Step 4: Simplify right side
    426.89x = 158,879.98
  5. Step 5: Solve for x
    x = 158,879.98/426.89
  6. Step 6: Final answer
    x = 372.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.