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Finding the Fourth Proportional to 505.68, 757.97 and 299.97

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Solution

The fourth proportional to 505.68, 757.97 and 299.97 is: 449.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.68 : 757.97 = 299.97 : x
  2. Step 2: Convert to fraction form
    505.68/757.97 = 299.97/x
  3. Step 3: Cross multiply
    505.68x = 757.97 × 299.97
  4. Step 4: Simplify right side
    505.68x = 227,367.89
  5. Step 5: Solve for x
    x = 227,367.89/505.68
  6. Step 6: Final answer
    x = 449.63

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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.