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Finding the Fourth Proportional to 455.78, 682.12 and 382.73

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Solution

The fourth proportional to 455.78, 682.12 and 382.73 is: 572.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.78 : 682.12 = 382.73 : x
  2. Step 2: Convert to fraction form
    455.78/682.12 = 382.73/x
  3. Step 3: Cross multiply
    455.78x = 682.12 × 382.73
  4. Step 4: Simplify right side
    455.78x = 261,068.54
  5. Step 5: Solve for x
    x = 261,068.54/455.78
  6. Step 6: Final answer
    x = 572.79

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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.