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Finding the Fourth Proportional to 512.08, 766.96 and 419.82

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Solution

The fourth proportional to 512.08, 766.96 and 419.82 is: 628.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.08 : 766.96 = 419.82 : x
  2. Step 2: Convert to fraction form
    512.08/766.96 = 419.82/x
  3. Step 3: Cross multiply
    512.08x = 766.96 × 419.82
  4. Step 4: Simplify right side
    512.08x = 321,982.40
  5. Step 5: Solve for x
    x = 321,982.40/512.08
  6. Step 6: Final answer
    x = 628.77

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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.