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Finding the Fourth Proportional to 449.31, 673.97 and 189.24

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Solution

The fourth proportional to 449.31, 673.97 and 189.24 is: 283.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.31 : 673.97 = 189.24 : x
  2. Step 2: Convert to fraction form
    449.31/673.97 = 189.24/x
  3. Step 3: Cross multiply
    449.31x = 673.97 × 189.24
  4. Step 4: Simplify right side
    449.31x = 127,541.14
  5. Step 5: Solve for x
    x = 127,541.14/449.31
  6. Step 6: Final answer
    x = 283.86

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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.