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Finding the Fourth Proportional to 949.23, 1,424.03 and 299.84

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Solution

The fourth proportional to 949.23, 1,424.03 and 299.84 is: 449.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.23 : 1,424.03 = 299.84 : x
  2. Step 2: Convert to fraction form
    949.23/1,424.03 = 299.84/x
  3. Step 3: Cross multiply
    949.23x = 1,424.03 × 299.84
  4. Step 4: Simplify right side
    949.23x = 426,972.54
  5. Step 5: Solve for x
    x = 426,972.54/949.23
  6. Step 6: Final answer
    x = 449.81

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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.