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Finding the Fourth Proportional to 353.98, 488.46 and 214.17

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Solution

The fourth proportional to 353.98, 488.46 and 214.17 is: 295.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.98 : 488.46 = 214.17 : x
  2. Step 2: Convert to fraction form
    353.98/488.46 = 214.17/x
  3. Step 3: Cross multiply
    353.98x = 488.46 × 214.17
  4. Step 4: Simplify right side
    353.98x = 104,614.94
  5. Step 5: Solve for x
    x = 104,614.94/353.98
  6. Step 6: Final answer
    x = 295.54

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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.