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Finding the Fourth Proportional to 449.06, 673.86 and 189.05

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Solution

The fourth proportional to 449.06, 673.86 and 189.05 is: 283.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.06 : 673.86 = 189.05 : x
  2. Step 2: Convert to fraction form
    449.06/673.86 = 189.05/x
  3. Step 3: Cross multiply
    449.06x = 673.86 × 189.05
  4. Step 4: Simplify right side
    449.06x = 127,392.04
  5. Step 5: Solve for x
    x = 127,392.04/449.06
  6. Step 6: Final answer
    x = 283.68

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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.