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Finding the Fourth Proportional to 411.91, 618.14 and 195.51

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Solution

The fourth proportional to 411.91, 618.14 and 195.51 is: 293.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.91 : 618.14 = 195.51 : x
  2. Step 2: Convert to fraction form
    411.91/618.14 = 195.51/x
  3. Step 3: Cross multiply
    411.91x = 618.14 × 195.51
  4. Step 4: Simplify right side
    411.91x = 120,848.48
  5. Step 5: Solve for x
    x = 120,848.48/411.91
  6. Step 6: Final answer
    x = 293.39

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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.