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Finding the Fourth Proportional to 353.94, 488.34 and 213.96

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Solution

The fourth proportional to 353.94, 488.34 and 213.96 is: 295.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.94 : 488.34 = 213.96 : x
  2. Step 2: Convert to fraction form
    353.94/488.34 = 213.96/x
  3. Step 3: Cross multiply
    353.94x = 488.34 × 213.96
  4. Step 4: Simplify right side
    353.94x = 104,485.23
  5. Step 5: Solve for x
    x = 104,485.23/353.94
  6. Step 6: Final answer
    x = 295.21

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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.