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Finding the Fourth Proportional to 546.47, 819.47 and 221.75

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Solution

The fourth proportional to 546.47, 819.47 and 221.75 is: 332.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.47 : 819.47 = 221.75 : x
  2. Step 2: Convert to fraction form
    546.47/819.47 = 221.75/x
  3. Step 3: Cross multiply
    546.47x = 819.47 × 221.75
  4. Step 4: Simplify right side
    546.47x = 181,713.93
  5. Step 5: Solve for x
    x = 181,713.93/546.47
  6. Step 6: Final answer
    x = 332.53

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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.