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Finding the Fourth Proportional to 523.24, 722.19 and 326.95

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Solution

The fourth proportional to 523.24, 722.19 and 326.95 is: 451.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.24 : 722.19 = 326.95 : x
  2. Step 2: Convert to fraction form
    523.24/722.19 = 326.95/x
  3. Step 3: Cross multiply
    523.24x = 722.19 × 326.95
  4. Step 4: Simplify right side
    523.24x = 236,120.02
  5. Step 5: Solve for x
    x = 236,120.02/523.24
  6. Step 6: Final answer
    x = 451.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.