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Finding the Fourth Proportional to 426.78, 588.74 and 269.12

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Solution

The fourth proportional to 426.78, 588.74 and 269.12 is: 371.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.78 : 588.74 = 269.12 : x
  2. Step 2: Convert to fraction form
    426.78/588.74 = 269.12/x
  3. Step 3: Cross multiply
    426.78x = 588.74 × 269.12
  4. Step 4: Simplify right side
    426.78x = 158,437.42
  5. Step 5: Solve for x
    x = 158,437.42/426.78
  6. Step 6: Final answer
    x = 371.24

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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.