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Finding the Fourth Proportional to 283.50, 391.23 and 239.05

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Solution

The fourth proportional to 283.50, 391.23 and 239.05 is: 329.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.50 : 391.23 = 239.05 : x
  2. Step 2: Convert to fraction form
    283.50/391.23 = 239.05/x
  3. Step 3: Cross multiply
    283.50x = 391.23 × 239.05
  4. Step 4: Simplify right side
    283.50x = 93,524.02
  5. Step 5: Solve for x
    x = 93,524.02/283.50
  6. Step 6: Final answer
    x = 329.89

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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.