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Finding the Fourth Proportional to 575.23, 793.85 and 326.49

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Solution

The fourth proportional to 575.23, 793.85 and 326.49 is: 450.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.23 : 793.85 = 326.49 : x
  2. Step 2: Convert to fraction form
    575.23/793.85 = 326.49/x
  3. Step 3: Cross multiply
    575.23x = 793.85 × 326.49
  4. Step 4: Simplify right side
    575.23x = 259,186.90
  5. Step 5: Solve for x
    x = 259,186.90/575.23
  6. Step 6: Final answer
    x = 450.58

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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.