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Finding the Fourth Proportional to 512.90, 769.52 and 281.48

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Solution

The fourth proportional to 512.90, 769.52 and 281.48 is: 422.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.90 : 769.52 = 281.48 : x
  2. Step 2: Convert to fraction form
    512.90/769.52 = 281.48/x
  3. Step 3: Cross multiply
    512.90x = 769.52 × 281.48
  4. Step 4: Simplify right side
    512.90x = 216,599.23
  5. Step 5: Solve for x
    x = 216,599.23/512.90
  6. Step 6: Final answer
    x = 422.31

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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.