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Finding the Fourth Proportional to 365.74, 504.29 and 324.23

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Solution

The fourth proportional to 365.74, 504.29 and 324.23 is: 447.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.74 : 504.29 = 324.23 : x
  2. Step 2: Convert to fraction form
    365.74/504.29 = 324.23/x
  3. Step 3: Cross multiply
    365.74x = 504.29 × 324.23
  4. Step 4: Simplify right side
    365.74x = 163,504.24
  5. Step 5: Solve for x
    x = 163,504.24/365.74
  6. Step 6: Final answer
    x = 447.05

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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.