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Finding the Fourth Proportional to 454.75, 682.29 and 235.85

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Solution

The fourth proportional to 454.75, 682.29 and 235.85 is: 353.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.75 : 682.29 = 235.85 : x
  2. Step 2: Convert to fraction form
    454.75/682.29 = 235.85/x
  3. Step 3: Cross multiply
    454.75x = 682.29 × 235.85
  4. Step 4: Simplify right side
    454.75x = 160,914.69
  5. Step 5: Solve for x
    x = 160,914.69/454.75
  6. Step 6: Final answer
    x = 353.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.