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Finding the Fourth Proportional to 300.35, 449.49 and 275.06

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Solution

The fourth proportional to 300.35, 449.49 and 275.06 is: 411.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.35 : 449.49 = 275.06 : x
  2. Step 2: Convert to fraction form
    300.35/449.49 = 275.06/x
  3. Step 3: Cross multiply
    300.35x = 449.49 × 275.06
  4. Step 4: Simplify right side
    300.35x = 123,636.72
  5. Step 5: Solve for x
    x = 123,636.72/300.35
  6. Step 6: Final answer
    x = 411.64

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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.