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Finding the Fourth Proportional to 546.82, 820.36 and 486.41

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Solution

The fourth proportional to 546.82, 820.36 and 486.41 is: 729.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.82 : 820.36 = 486.41 : x
  2. Step 2: Convert to fraction form
    546.82/820.36 = 486.41/x
  3. Step 3: Cross multiply
    546.82x = 820.36 × 486.41
  4. Step 4: Simplify right side
    546.82x = 399,027.21
  5. Step 5: Solve for x
    x = 399,027.21/546.82
  6. Step 6: Final answer
    x = 729.73

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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.