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Finding the Fourth Proportional to 546.92, 821.10 and 450.44

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Solution

The fourth proportional to 546.92, 821.10 and 450.44 is: 676.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.92 : 821.10 = 450.44 : x
  2. Step 2: Convert to fraction form
    546.92/821.10 = 450.44/x
  3. Step 3: Cross multiply
    546.92x = 821.10 × 450.44
  4. Step 4: Simplify right side
    546.92x = 369,856.28
  5. Step 5: Solve for x
    x = 369,856.28/546.92
  6. Step 6: Final answer
    x = 676.25

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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.