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Finding the Fourth Proportional to 449.87, 674.81 and 206.58

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Solution

The fourth proportional to 449.87, 674.81 and 206.58 is: 309.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.87 : 674.81 = 206.58 : x
  2. Step 2: Convert to fraction form
    449.87/674.81 = 206.58/x
  3. Step 3: Cross multiply
    449.87x = 674.81 × 206.58
  4. Step 4: Simplify right side
    449.87x = 139,401.22
  5. Step 5: Solve for x
    x = 139,401.22/449.87
  6. Step 6: Final answer
    x = 309.87

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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.