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Finding the Fourth Proportional to 352.75, 486.24 and 282.70

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Solution

The fourth proportional to 352.75, 486.24 and 282.70 is: 389.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.75 : 486.24 = 282.70 : x
  2. Step 2: Convert to fraction form
    352.75/486.24 = 282.70/x
  3. Step 3: Cross multiply
    352.75x = 486.24 × 282.70
  4. Step 4: Simplify right side
    352.75x = 137,460.05
  5. Step 5: Solve for x
    x = 137,460.05/352.75
  6. Step 6: Final answer
    x = 389.68

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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.