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Finding the Fourth Proportional to 546.36, 819.78 and 221.94

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Solution

The fourth proportional to 546.36, 819.78 and 221.94 is: 333.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.36 : 819.78 = 221.94 : x
  2. Step 2: Convert to fraction form
    546.36/819.78 = 221.94/x
  3. Step 3: Cross multiply
    546.36x = 819.78 × 221.94
  4. Step 4: Simplify right side
    546.36x = 181,941.97
  5. Step 5: Solve for x
    x = 181,941.97/546.36
  6. Step 6: Final answer
    x = 333.01

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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.