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Finding the Fourth Proportional to 284.25, 391.90 and 210.44

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Solution

The fourth proportional to 284.25, 391.90 and 210.44 is: 290.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.25 : 391.90 = 210.44 : x
  2. Step 2: Convert to fraction form
    284.25/391.90 = 210.44/x
  3. Step 3: Cross multiply
    284.25x = 391.90 × 210.44
  4. Step 4: Simplify right side
    284.25x = 82,471.44
  5. Step 5: Solve for x
    x = 82,471.44/284.25
  6. Step 6: Final answer
    x = 290.14

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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.