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Finding the Fourth Proportional to 411.90, 618.06 and 195.48

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Solution

The fourth proportional to 411.90, 618.06 and 195.48 is: 293.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.90 : 618.06 = 195.48 : x
  2. Step 2: Convert to fraction form
    411.90/618.06 = 195.48/x
  3. Step 3: Cross multiply
    411.90x = 618.06 × 195.48
  4. Step 4: Simplify right side
    411.90x = 120,818.37
  5. Step 5: Solve for x
    x = 120,818.37/411.90
  6. Step 6: Final answer
    x = 293.32

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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.