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Finding the Fourth Proportional to 489.29, 673.38 and 449.96

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Solution

The fourth proportional to 489.29, 673.38 and 449.96 is: 619.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.29 : 673.38 = 449.96 : x
  2. Step 2: Convert to fraction form
    489.29/673.38 = 449.96/x
  3. Step 3: Cross multiply
    489.29x = 673.38 × 449.96
  4. Step 4: Simplify right side
    489.29x = 302,990.70
  5. Step 5: Solve for x
    x = 302,990.70/489.29
  6. Step 6: Final answer
    x = 619.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.