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Finding the Fourth Proportional to 546.10, 819.46 and 238.26

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Solution

The fourth proportional to 546.10, 819.46 and 238.26 is: 357.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.10 : 819.46 = 238.26 : x
  2. Step 2: Convert to fraction form
    546.10/819.46 = 238.26/x
  3. Step 3: Cross multiply
    546.10x = 819.46 × 238.26
  4. Step 4: Simplify right side
    546.10x = 195,244.54
  5. Step 5: Solve for x
    x = 195,244.54/546.10
  6. Step 6: Final answer
    x = 357.53

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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.