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Finding the Fourth Proportional to 449.19, 619.33 and 324.80

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Solution

The fourth proportional to 449.19, 619.33 and 324.80 is: 447.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.19 : 619.33 = 324.80 : x
  2. Step 2: Convert to fraction form
    449.19/619.33 = 324.80/x
  3. Step 3: Cross multiply
    449.19x = 619.33 × 324.80
  4. Step 4: Simplify right side
    449.19x = 201,159.12
  5. Step 5: Solve for x
    x = 201,159.12/449.19
  6. Step 6: Final answer
    x = 447.83

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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.