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Finding the Fourth Proportional to 512.29, 771.88 and 422.98

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Solution

The fourth proportional to 512.29, 771.88 and 422.98 is: 637.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.29 : 771.88 = 422.98 : x
  2. Step 2: Convert to fraction form
    512.29/771.88 = 422.98/x
  3. Step 3: Cross multiply
    512.29x = 771.88 × 422.98
  4. Step 4: Simplify right side
    512.29x = 326,489.80
  5. Step 5: Solve for x
    x = 326,489.80/512.29
  6. Step 6: Final answer
    x = 637.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.