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Finding the Fourth Proportional to 300.41, 416.34 and 295.85

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Solution

The fourth proportional to 300.41, 416.34 and 295.85 is: 410.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.41 : 416.34 = 295.85 : x
  2. Step 2: Convert to fraction form
    300.41/416.34 = 295.85/x
  3. Step 3: Cross multiply
    300.41x = 416.34 × 295.85
  4. Step 4: Simplify right side
    300.41x = 123,174.19
  5. Step 5: Solve for x
    x = 123,174.19/300.41
  6. Step 6: Final answer
    x = 410.02

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.