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Finding the Fourth Proportional to 285.63, 394.43 and 208.41

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Solution

The fourth proportional to 285.63, 394.43 and 208.41 is: 287.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.63 : 394.43 = 208.41 : x
  2. Step 2: Convert to fraction form
    285.63/394.43 = 208.41/x
  3. Step 3: Cross multiply
    285.63x = 394.43 × 208.41
  4. Step 4: Simplify right side
    285.63x = 82,203.16
  5. Step 5: Solve for x
    x = 82,203.16/285.63
  6. Step 6: Final answer
    x = 287.80

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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.