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Finding the Fourth Proportional to 449.24, 673.82 and 189.10

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Solution

The fourth proportional to 449.24, 673.82 and 189.10 is: 283.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.24 : 673.82 = 189.10 : x
  2. Step 2: Convert to fraction form
    449.24/673.82 = 189.10/x
  3. Step 3: Cross multiply
    449.24x = 673.82 × 189.10
  4. Step 4: Simplify right side
    449.24x = 127,418.15
  5. Step 5: Solve for x
    x = 127,418.15/449.24
  6. Step 6: Final answer
    x = 283.63

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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.