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Finding the Fourth Proportional to 950.38, 1,424.66 and 300.67

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Solution

The fourth proportional to 950.38, 1,424.66 and 300.67 is: 450.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.38 : 1,424.66 = 300.67 : x
  2. Step 2: Convert to fraction form
    950.38/1,424.66 = 300.67/x
  3. Step 3: Cross multiply
    950.38x = 1,424.66 × 300.67
  4. Step 4: Simplify right side
    950.38x = 428,347.46
  5. Step 5: Solve for x
    x = 428,347.46/950.38
  6. Step 6: Final answer
    x = 450.71

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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.