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Finding the Fourth Proportional to 300.68, 451.50 and 281.48

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Solution

The fourth proportional to 300.68, 451.50 and 281.48 is: 422.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.68 : 451.50 = 281.48 : x
  2. Step 2: Convert to fraction form
    300.68/451.50 = 281.48/x
  3. Step 3: Cross multiply
    300.68x = 451.50 × 281.48
  4. Step 4: Simplify right side
    300.68x = 127,088.22
  5. Step 5: Solve for x
    x = 127,088.22/300.68
  6. Step 6: Final answer
    x = 422.67

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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.