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Finding the Fourth Proportional to 379.65, 523.89 and 324.30

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Solution

The fourth proportional to 379.65, 523.89 and 324.30 is: 447.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.65 : 523.89 = 324.30 : x
  2. Step 2: Convert to fraction form
    379.65/523.89 = 324.30/x
  3. Step 3: Cross multiply
    379.65x = 523.89 × 324.30
  4. Step 4: Simplify right side
    379.65x = 169,897.53
  5. Step 5: Solve for x
    x = 169,897.53/379.65
  6. Step 6: Final answer
    x = 447.51

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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.