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Finding the Fourth Proportional to 352.70, 486.74 and 205.36

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Solution

The fourth proportional to 352.70, 486.74 and 205.36 is: 283.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.70 : 486.74 = 205.36 : x
  2. Step 2: Convert to fraction form
    352.70/486.74 = 205.36/x
  3. Step 3: Cross multiply
    352.70x = 486.74 × 205.36
  4. Step 4: Simplify right side
    352.70x = 99,955.90
  5. Step 5: Solve for x
    x = 99,955.90/352.70
  6. Step 6: Final answer
    x = 283.41

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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.