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Finding the Fourth Proportional to 455.52, 682.12 and 300.98

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Solution

The fourth proportional to 455.52, 682.12 and 300.98 is: 450.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.52 : 682.12 = 300.98 : x
  2. Step 2: Convert to fraction form
    455.52/682.12 = 300.98/x
  3. Step 3: Cross multiply
    455.52x = 682.12 × 300.98
  4. Step 4: Simplify right side
    455.52x = 205,305.43
  5. Step 5: Solve for x
    x = 205,305.43/455.52
  6. Step 6: Final answer
    x = 450.71

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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.