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Finding the Fourth Proportional to 608.22, 912.05 and 299.94

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Solution

The fourth proportional to 608.22, 912.05 and 299.94 is: 449.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.22 : 912.05 = 299.94 : x
  2. Step 2: Convert to fraction form
    608.22/912.05 = 299.94/x
  3. Step 3: Cross multiply
    608.22x = 912.05 × 299.94
  4. Step 4: Simplify right side
    608.22x = 273,562.79
  5. Step 5: Solve for x
    x = 273,562.79/608.22
  6. Step 6: Final answer
    x = 449.78

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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.