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Finding the Fourth Proportional to 353.98, 488.66 and 271.44

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Solution

The fourth proportional to 353.98, 488.66 and 271.44 is: 374.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.98 : 488.66 = 271.44 : x
  2. Step 2: Convert to fraction form
    353.98/488.66 = 271.44/x
  3. Step 3: Cross multiply
    353.98x = 488.66 × 271.44
  4. Step 4: Simplify right side
    353.98x = 132,641.87
  5. Step 5: Solve for x
    x = 132,641.87/353.98
  6. Step 6: Final answer
    x = 374.72

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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.