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Finding the Fourth Proportional to 353.78, 487.88 and 274.96

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Solution

The fourth proportional to 353.78, 487.88 and 274.96 is: 379.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.78 : 487.88 = 274.96 : x
  2. Step 2: Convert to fraction form
    353.78/487.88 = 274.96/x
  3. Step 3: Cross multiply
    353.78x = 487.88 × 274.96
  4. Step 4: Simplify right side
    353.78x = 134,147.75
  5. Step 5: Solve for x
    x = 134,147.75/353.78
  6. Step 6: Final answer
    x = 379.18

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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.