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Finding the Fourth Proportional to 353.92, 488.39 and 214.09

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Solution

The fourth proportional to 353.92, 488.39 and 214.09 is: 295.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.92 : 488.39 = 214.09 : x
  2. Step 2: Convert to fraction form
    353.92/488.39 = 214.09/x
  3. Step 3: Cross multiply
    353.92x = 488.39 × 214.09
  4. Step 4: Simplify right side
    353.92x = 104,559.42
  5. Step 5: Solve for x
    x = 104,559.42/353.92
  6. Step 6: Final answer
    x = 295.43

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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.