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Finding the Fourth Proportional to 449.25, 673.91 and 192.75

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Solution

The fourth proportional to 449.25, 673.91 and 192.75 is: 289.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.25 : 673.91 = 192.75 : x
  2. Step 2: Convert to fraction form
    449.25/673.91 = 192.75/x
  3. Step 3: Cross multiply
    449.25x = 673.91 × 192.75
  4. Step 4: Simplify right side
    449.25x = 129,895.19
  5. Step 5: Solve for x
    x = 129,895.19/449.25
  6. Step 6: Final answer
    x = 289.14

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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.