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Finding the Fourth Proportional to 352.82, 486.72 and 205.43

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Solution

The fourth proportional to 352.82, 486.72 and 205.43 is: 283.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.82 : 486.72 = 205.43 : x
  2. Step 2: Convert to fraction form
    352.82/486.72 = 205.43/x
  3. Step 3: Cross multiply
    352.82x = 486.72 × 205.43
  4. Step 4: Simplify right side
    352.82x = 99,986.89
  5. Step 5: Solve for x
    x = 99,986.89/352.82
  6. Step 6: Final answer
    x = 283.39

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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.