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Finding the Fourth Proportional to 283.62, 426.27 and 235.19

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Solution

The fourth proportional to 283.62, 426.27 and 235.19 is: 353.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.62 : 426.27 = 235.19 : x
  2. Step 2: Convert to fraction form
    283.62/426.27 = 235.19/x
  3. Step 3: Cross multiply
    283.62x = 426.27 × 235.19
  4. Step 4: Simplify right side
    283.62x = 100,253.33
  5. Step 5: Solve for x
    x = 100,253.33/283.62
  6. Step 6: Final answer
    x = 353.48

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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.