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Finding the Fourth Proportional to 546.51, 819.25 and 254.04

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Solution

The fourth proportional to 546.51, 819.25 and 254.04 is: 380.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.51 : 819.25 = 254.04 : x
  2. Step 2: Convert to fraction form
    546.51/819.25 = 254.04/x
  3. Step 3: Cross multiply
    546.51x = 819.25 × 254.04
  4. Step 4: Simplify right side
    546.51x = 208,122.27
  5. Step 5: Solve for x
    x = 208,122.27/546.51
  6. Step 6: Final answer
    x = 380.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.