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Finding the Fourth Proportional to 512.54, 766.86 and 311.44

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Solution

The fourth proportional to 512.54, 766.86 and 311.44 is: 465.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.54 : 766.86 = 311.44 : x
  2. Step 2: Convert to fraction form
    512.54/766.86 = 311.44/x
  3. Step 3: Cross multiply
    512.54x = 766.86 × 311.44
  4. Step 4: Simplify right side
    512.54x = 238,830.88
  5. Step 5: Solve for x
    x = 238,830.88/512.54
  6. Step 6: Final answer
    x = 465.98

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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.