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Finding the Fourth Proportional to 339.84, 469.44 and 323.64

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Solution

The fourth proportional to 339.84, 469.44 and 323.64 is: 447.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.84 : 469.44 = 323.64 : x
  2. Step 2: Convert to fraction form
    339.84/469.44 = 323.64/x
  3. Step 3: Cross multiply
    339.84x = 469.44 × 323.64
  4. Step 4: Simplify right side
    339.84x = 151,929.56
  5. Step 5: Solve for x
    x = 151,929.56/339.84
  6. Step 6: Final answer
    x = 447.06

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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.