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Finding the Fourth Proportional to 449.44, 674.16 and 192.94

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Solution

The fourth proportional to 449.44, 674.16 and 192.94 is: 289.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.44 : 674.16 = 192.94 : x
  2. Step 2: Convert to fraction form
    449.44/674.16 = 192.94/x
  3. Step 3: Cross multiply
    449.44x = 674.16 × 192.94
  4. Step 4: Simplify right side
    449.44x = 130,070.75
  5. Step 5: Solve for x
    x = 130,070.75/449.44
  6. Step 6: Final answer
    x = 289.41

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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.