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Finding the Fourth Proportional to 450.92, 676.38 and 162.44

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Solution

The fourth proportional to 450.92, 676.38 and 162.44 is: 243.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.92 : 676.38 = 162.44 : x
  2. Step 2: Convert to fraction form
    450.92/676.38 = 162.44/x
  3. Step 3: Cross multiply
    450.92x = 676.38 × 162.44
  4. Step 4: Simplify right side
    450.92x = 109,871.17
  5. Step 5: Solve for x
    x = 109,871.17/450.92
  6. Step 6: Final answer
    x = 243.66

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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.