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Finding the Fourth Proportional to 352.95, 487.09 and 205.67

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Solution

The fourth proportional to 352.95, 487.09 and 205.67 is: 283.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.95 : 487.09 = 205.67 : x
  2. Step 2: Convert to fraction form
    352.95/487.09 = 205.67/x
  3. Step 3: Cross multiply
    352.95x = 487.09 × 205.67
  4. Step 4: Simplify right side
    352.95x = 100,179.80
  5. Step 5: Solve for x
    x = 100,179.80/352.95
  6. Step 6: Final answer
    x = 283.84

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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.