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Finding the Fourth Proportional to 546.19, 819.31 and 518.51

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Solution

The fourth proportional to 546.19, 819.31 and 518.51 is: 777.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.19 : 819.31 = 518.51 : x
  2. Step 2: Convert to fraction form
    546.19/819.31 = 518.51/x
  3. Step 3: Cross multiply
    546.19x = 819.31 × 518.51
  4. Step 4: Simplify right side
    546.19x = 424,817.54
  5. Step 5: Solve for x
    x = 424,817.54/546.19
  6. Step 6: Final answer
    x = 777.79

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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.