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Finding the Fourth Proportional to 411.84, 618.12 and 195.48

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Solution

The fourth proportional to 411.84, 618.12 and 195.48 is: 293.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.84 : 618.12 = 195.48 : x
  2. Step 2: Convert to fraction form
    411.84/618.12 = 195.48/x
  3. Step 3: Cross multiply
    411.84x = 618.12 × 195.48
  4. Step 4: Simplify right side
    411.84x = 120,830.10
  5. Step 5: Solve for x
    x = 120,830.10/411.84
  6. Step 6: Final answer
    x = 293.39

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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.