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Finding the Fourth Proportional to 414.18, 620.46 and 378.54

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Solution

The fourth proportional to 414.18, 620.46 and 378.54 is: 567.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.18 : 620.46 = 378.54 : x
  2. Step 2: Convert to fraction form
    414.18/620.46 = 378.54/x
  3. Step 3: Cross multiply
    414.18x = 620.46 × 378.54
  4. Step 4: Simplify right side
    414.18x = 234,868.93
  5. Step 5: Solve for x
    x = 234,868.93/414.18
  6. Step 6: Final answer
    x = 567.07

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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.