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Finding the Fourth Proportional to 352.77, 486.79 and 205.39

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Solution

The fourth proportional to 352.77, 486.79 and 205.39 is: 283.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.77 : 486.79 = 205.39 : x
  2. Step 2: Convert to fraction form
    352.77/486.79 = 205.39/x
  3. Step 3: Cross multiply
    352.77x = 486.79 × 205.39
  4. Step 4: Simplify right side
    352.77x = 99,981.80
  5. Step 5: Solve for x
    x = 99,981.80/352.77
  6. Step 6: Final answer
    x = 283.42

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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.