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Finding the Fourth Proportional to 355.78, 490.72 and 300.80

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Solution

The fourth proportional to 355.78, 490.72 and 300.80 is: 414.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.78 : 490.72 = 300.80 : x
  2. Step 2: Convert to fraction form
    355.78/490.72 = 300.80/x
  3. Step 3: Cross multiply
    355.78x = 490.72 × 300.80
  4. Step 4: Simplify right side
    355.78x = 147,608.58
  5. Step 5: Solve for x
    x = 147,608.58/355.78
  6. Step 6: Final answer
    x = 414.89

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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.