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Finding the Fourth Proportional to 339.39, 468.72 and 327.24

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Solution

The fourth proportional to 339.39, 468.72 and 327.24 is: 451.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.39 : 468.72 = 327.24 : x
  2. Step 2: Convert to fraction form
    339.39/468.72 = 327.24/x
  3. Step 3: Cross multiply
    339.39x = 468.72 × 327.24
  4. Step 4: Simplify right side
    339.39x = 153,383.93
  5. Step 5: Solve for x
    x = 153,383.93/339.39
  6. Step 6: Final answer
    x = 451.94

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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.