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Finding the Fourth Proportional to 512.73, 707.69 and 326.07

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Solution

The fourth proportional to 512.73, 707.69 and 326.07 is: 450.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.73 : 707.69 = 326.07 : x
  2. Step 2: Convert to fraction form
    512.73/707.69 = 326.07/x
  3. Step 3: Cross multiply
    512.73x = 707.69 × 326.07
  4. Step 4: Simplify right side
    512.73x = 230,754.85
  5. Step 5: Solve for x
    x = 230,754.85/512.73
  6. Step 6: Final answer
    x = 450.05

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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.