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Finding the Fourth Proportional to 455.57, 682.27 and 235.61

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Solution

The fourth proportional to 455.57, 682.27 and 235.61 is: 352.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.57 : 682.27 = 235.61 : x
  2. Step 2: Convert to fraction form
    455.57/682.27 = 235.61/x
  3. Step 3: Cross multiply
    455.57x = 682.27 × 235.61
  4. Step 4: Simplify right side
    455.57x = 160,749.52
  5. Step 5: Solve for x
    x = 160,749.52/455.57
  6. Step 6: Final answer
    x = 352.85

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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.