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Finding the Fourth Proportional to 512.96, 708.12 and 326.72

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Solution

The fourth proportional to 512.96, 708.12 and 326.72 is: 451.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.96 : 708.12 = 326.72 : x
  2. Step 2: Convert to fraction form
    512.96/708.12 = 326.72/x
  3. Step 3: Cross multiply
    512.96x = 708.12 × 326.72
  4. Step 4: Simplify right side
    512.96x = 231,356.97
  5. Step 5: Solve for x
    x = 231,356.97/512.96
  6. Step 6: Final answer
    x = 451.02

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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.