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Finding the Fourth Proportional to 449.92, 674.88 and 206.65

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Solution

The fourth proportional to 449.92, 674.88 and 206.65 is: 309.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.92 : 674.88 = 206.65 : x
  2. Step 2: Convert to fraction form
    449.92/674.88 = 206.65/x
  3. Step 3: Cross multiply
    449.92x = 674.88 × 206.65
  4. Step 4: Simplify right side
    449.92x = 139,463.95
  5. Step 5: Solve for x
    x = 139,463.95/449.92
  6. Step 6: Final answer
    x = 309.98

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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.