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Finding the Fourth Proportional to 512.32, 768.66 and 295.84

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Solution

The fourth proportional to 512.32, 768.66 and 295.84 is: 443.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.32 : 768.66 = 295.84 : x
  2. Step 2: Convert to fraction form
    512.32/768.66 = 295.84/x
  3. Step 3: Cross multiply
    512.32x = 768.66 × 295.84
  4. Step 4: Simplify right side
    512.32x = 227,400.37
  5. Step 5: Solve for x
    x = 227,400.37/512.32
  6. Step 6: Final answer
    x = 443.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.