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Finding the Fourth Proportional to 352.84, 486.81 and 205.44

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Solution

The fourth proportional to 352.84, 486.81 and 205.44 is: 283.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.84 : 486.81 = 205.44 : x
  2. Step 2: Convert to fraction form
    352.84/486.81 = 205.44/x
  3. Step 3: Cross multiply
    352.84x = 486.81 × 205.44
  4. Step 4: Simplify right side
    352.84x = 100,010.25
  5. Step 5: Solve for x
    x = 100,010.25/352.84
  6. Step 6: Final answer
    x = 283.45

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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.