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Finding the Fourth Proportional to 352.26, 486 and 204.77

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Solution

The fourth proportional to 352.26, 486 and 204.77 is: 282.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.26 : 486 = 204.77 : x
  2. Step 2: Convert to fraction form
    352.26/486 = 204.77/x
  3. Step 3: Cross multiply
    352.26x = 486 × 204.77
  4. Step 4: Simplify right side
    352.26x = 99,519.44
  5. Step 5: Solve for x
    x = 99,519.44/352.26
  6. Step 6: Final answer
    x = 282.52

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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.