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Finding the Fourth Proportional to 535.41, 796.79 and 512.37

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Solution

The fourth proportional to 535.41, 796.79 and 512.37 is: 762.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.41 : 796.79 = 512.37 : x
  2. Step 2: Convert to fraction form
    535.41/796.79 = 512.37/x
  3. Step 3: Cross multiply
    535.41x = 796.79 × 512.37
  4. Step 4: Simplify right side
    535.41x = 408,252.57
  5. Step 5: Solve for x
    x = 408,252.57/535.41
  6. Step 6: Final answer
    x = 762.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.