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Finding the Fourth Proportional to 546.28, 821.04 and 481.48

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Solution

The fourth proportional to 546.28, 821.04 and 481.48 is: 723.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.28 : 821.04 = 481.48 : x
  2. Step 2: Convert to fraction form
    546.28/821.04 = 481.48/x
  3. Step 3: Cross multiply
    546.28x = 821.04 × 481.48
  4. Step 4: Simplify right side
    546.28x = 395,314.34
  5. Step 5: Solve for x
    x = 395,314.34/546.28
  6. Step 6: Final answer
    x = 723.65

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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.