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Finding the Fourth Proportional to 449.83, 674.97 and 206.31

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Solution

The fourth proportional to 449.83, 674.97 and 206.31 is: 309.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.83 : 674.97 = 206.31 : x
  2. Step 2: Convert to fraction form
    449.83/674.97 = 206.31/x
  3. Step 3: Cross multiply
    449.83x = 674.97 × 206.31
  4. Step 4: Simplify right side
    449.83x = 139,253.06
  5. Step 5: Solve for x
    x = 139,253.06/449.83
  6. Step 6: Final answer
    x = 309.57

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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.