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Finding the Fourth Proportional to 283.48, 391.56 and 217.84

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Solution

The fourth proportional to 283.48, 391.56 and 217.84 is: 300.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.48 : 391.56 = 217.84 : x
  2. Step 2: Convert to fraction form
    283.48/391.56 = 217.84/x
  3. Step 3: Cross multiply
    283.48x = 391.56 × 217.84
  4. Step 4: Simplify right side
    283.48x = 85,297.43
  5. Step 5: Solve for x
    x = 85,297.43/283.48
  6. Step 6: Final answer
    x = 300.89

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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.