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Finding the Fourth Proportional to 454.80, 682.56 and 238.44

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Solution

The fourth proportional to 454.80, 682.56 and 238.44 is: 357.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.80 : 682.56 = 238.44 : x
  2. Step 2: Convert to fraction form
    454.80/682.56 = 238.44/x
  3. Step 3: Cross multiply
    454.80x = 682.56 × 238.44
  4. Step 4: Simplify right side
    454.80x = 162,749.61
  5. Step 5: Solve for x
    x = 162,749.61/454.80
  6. Step 6: Final answer
    x = 357.85

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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.