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Finding the Fourth Proportional to 448.91, 673.50 and 189.04

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Solution

The fourth proportional to 448.91, 673.50 and 189.04 is: 283.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.91 : 673.50 = 189.04 : x
  2. Step 2: Convert to fraction form
    448.91/673.50 = 189.04/x
  3. Step 3: Cross multiply
    448.91x = 673.50 × 189.04
  4. Step 4: Simplify right side
    448.91x = 127,318.44
  5. Step 5: Solve for x
    x = 127,318.44/448.91
  6. Step 6: Final answer
    x = 283.62

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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.