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Finding the Fourth Proportional to 300.49, 414.21 and 295.03

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Solution

The fourth proportional to 300.49, 414.21 and 295.03 is: 406.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.49 : 414.21 = 295.03 : x
  2. Step 2: Convert to fraction form
    300.49/414.21 = 295.03/x
  3. Step 3: Cross multiply
    300.49x = 414.21 × 295.03
  4. Step 4: Simplify right side
    300.49x = 122,204.38
  5. Step 5: Solve for x
    x = 122,204.38/300.49
  6. Step 6: Final answer
    x = 406.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.