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Finding the Fourth Proportional to 353.88, 490.59 and 331.80

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Solution

The fourth proportional to 353.88, 490.59 and 331.80 is: 459.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.88 : 490.59 = 331.80 : x
  2. Step 2: Convert to fraction form
    353.88/490.59 = 331.80/x
  3. Step 3: Cross multiply
    353.88x = 490.59 × 331.80
  4. Step 4: Simplify right side
    353.88x = 162,777.76
  5. Step 5: Solve for x
    x = 162,777.76/353.88
  6. Step 6: Final answer
    x = 459.98

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.