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Finding the Fourth Proportional to 426.50, 588.59 and 269.09

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Solution

The fourth proportional to 426.50, 588.59 and 269.09 is: 371.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.50 : 588.59 = 269.09 : x
  2. Step 2: Convert to fraction form
    426.50/588.59 = 269.09/x
  3. Step 3: Cross multiply
    426.50x = 588.59 × 269.09
  4. Step 4: Simplify right side
    426.50x = 158,383.68
  5. Step 5: Solve for x
    x = 158,383.68/426.50
  6. Step 6: Final answer
    x = 371.36

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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.