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Finding the Fourth Proportional to 449.42, 620.23 and 299.79

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Solution

The fourth proportional to 449.42, 620.23 and 299.79 is: 413.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.42 : 620.23 = 299.79 : x
  2. Step 2: Convert to fraction form
    449.42/620.23 = 299.79/x
  3. Step 3: Cross multiply
    449.42x = 620.23 × 299.79
  4. Step 4: Simplify right side
    449.42x = 185,934.15
  5. Step 5: Solve for x
    x = 185,934.15/449.42
  6. Step 6: Final answer
    x = 413.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.