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Finding the Fourth Proportional to 449.60, 674.41 and 257.09

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Solution

The fourth proportional to 449.60, 674.41 and 257.09 is: 385.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.60 : 674.41 = 257.09 : x
  2. Step 2: Convert to fraction form
    449.60/674.41 = 257.09/x
  3. Step 3: Cross multiply
    449.60x = 674.41 × 257.09
  4. Step 4: Simplify right side
    449.60x = 173,385.63
  5. Step 5: Solve for x
    x = 173,385.63/449.60
  6. Step 6: Final answer
    x = 385.64

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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.