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Finding the Fourth Proportional to 352.94, 487.02 and 205.54

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Solution

The fourth proportional to 352.94, 487.02 and 205.54 is: 283.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.94 : 487.02 = 205.54 : x
  2. Step 2: Convert to fraction form
    352.94/487.02 = 205.54/x
  3. Step 3: Cross multiply
    352.94x = 487.02 × 205.54
  4. Step 4: Simplify right side
    352.94x = 100,102.09
  5. Step 5: Solve for x
    x = 100,102.09/352.94
  6. Step 6: Final answer
    x = 283.62

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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.