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Finding the Fourth Proportional to 289.41, 398.94 and 206.34

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Solution

The fourth proportional to 289.41, 398.94 and 206.34 is: 284.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.41 : 398.94 = 206.34 : x
  2. Step 2: Convert to fraction form
    289.41/398.94 = 206.34/x
  3. Step 3: Cross multiply
    289.41x = 398.94 × 206.34
  4. Step 4: Simplify right side
    289.41x = 82,317.28
  5. Step 5: Solve for x
    x = 82,317.28/289.41
  6. Step 6: Final answer
    x = 284.43

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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.