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Finding the Fourth Proportional to 352.72, 486.76 and 205.46

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Solution

The fourth proportional to 352.72, 486.76 and 205.46 is: 283.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.72 : 486.76 = 205.46 : x
  2. Step 2: Convert to fraction form
    352.72/486.76 = 205.46/x
  3. Step 3: Cross multiply
    352.72x = 486.76 × 205.46
  4. Step 4: Simplify right side
    352.72x = 100,006.25
  5. Step 5: Solve for x
    x = 100,006.25/352.72
  6. Step 6: Final answer
    x = 283.53

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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.