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Finding the Fourth Proportional to 512.88, 769.44 and 350.64

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Solution

The fourth proportional to 512.88, 769.44 and 350.64 is: 526.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.88 : 769.44 = 350.64 : x
  2. Step 2: Convert to fraction form
    512.88/769.44 = 350.64/x
  3. Step 3: Cross multiply
    512.88x = 769.44 × 350.64
  4. Step 4: Simplify right side
    512.88x = 269,796.44
  5. Step 5: Solve for x
    x = 269,796.44/512.88
  6. Step 6: Final answer
    x = 526.04

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Why These Related Problems?

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