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Finding the Fourth Proportional to 283.43, 391.41 and 216.02

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Solution

The fourth proportional to 283.43, 391.41 and 216.02 is: 298.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.43 : 391.41 = 216.02 : x
  2. Step 2: Convert to fraction form
    283.43/391.41 = 216.02/x
  3. Step 3: Cross multiply
    283.43x = 391.41 × 216.02
  4. Step 4: Simplify right side
    283.43x = 84,550.43
  5. Step 5: Solve for x
    x = 84,550.43/283.43
  6. Step 6: Final answer
    x = 298.32

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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.