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Finding the Fourth Proportional to 575.52, 794.22 and 326.86

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Solution

The fourth proportional to 575.52, 794.22 and 326.86 is: 451.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.52 : 794.22 = 326.86 : x
  2. Step 2: Convert to fraction form
    575.52/794.22 = 326.86/x
  3. Step 3: Cross multiply
    575.52x = 794.22 × 326.86
  4. Step 4: Simplify right side
    575.52x = 259,594.78
  5. Step 5: Solve for x
    x = 259,594.78/575.52
  6. Step 6: Final answer
    x = 451.06

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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.