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Finding the Fourth Proportional to 512.75, 707.47 and 326.17

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Solution

The fourth proportional to 512.75, 707.47 and 326.17 is: 450.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.75 : 707.47 = 326.17 : x
  2. Step 2: Convert to fraction form
    512.75/707.47 = 326.17/x
  3. Step 3: Cross multiply
    512.75x = 707.47 × 326.17
  4. Step 4: Simplify right side
    512.75x = 230,755.49
  5. Step 5: Solve for x
    x = 230,755.49/512.75
  6. Step 6: Final answer
    x = 450.04

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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.