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Finding the Fourth Proportional to 300.90, 451.38 and 209.64

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Solution

The fourth proportional to 300.90, 451.38 and 209.64 is: 314.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.90 : 451.38 = 209.64 : x
  2. Step 2: Convert to fraction form
    300.90/451.38 = 209.64/x
  3. Step 3: Cross multiply
    300.90x = 451.38 × 209.64
  4. Step 4: Simplify right side
    300.90x = 94,627.30
  5. Step 5: Solve for x
    x = 94,627.30/300.90
  6. Step 6: Final answer
    x = 314.48

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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.