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Finding the Fourth Proportional to 449.23, 673.73 and 189.24

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Solution

The fourth proportional to 449.23, 673.73 and 189.24 is: 283.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.23 : 673.73 = 189.24 : x
  2. Step 2: Convert to fraction form
    449.23/673.73 = 189.24/x
  3. Step 3: Cross multiply
    449.23x = 673.73 × 189.24
  4. Step 4: Simplify right side
    449.23x = 127,494.17
  5. Step 5: Solve for x
    x = 127,494.17/449.23
  6. Step 6: Final answer
    x = 283.80

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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.