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Finding the Fourth Proportional to 575.69, 794.42 and 326.97

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Solution

The fourth proportional to 575.69, 794.42 and 326.97 is: 451.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.69 : 794.42 = 326.97 : x
  2. Step 2: Convert to fraction form
    575.69/794.42 = 326.97/x
  3. Step 3: Cross multiply
    575.69x = 794.42 × 326.97
  4. Step 4: Simplify right side
    575.69x = 259,754.08
  5. Step 5: Solve for x
    x = 259,754.08/575.69
  6. Step 6: Final answer
    x = 451.21

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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.