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Finding the Fourth Proportional to 511.23, 766.33 and 305.90

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Solution

The fourth proportional to 511.23, 766.33 and 305.90 is: 458.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.23 : 766.33 = 305.90 : x
  2. Step 2: Convert to fraction form
    511.23/766.33 = 305.90/x
  3. Step 3: Cross multiply
    511.23x = 766.33 × 305.90
  4. Step 4: Simplify right side
    511.23x = 234,418.62
  5. Step 5: Solve for x
    x = 234,418.62/511.23
  6. Step 6: Final answer
    x = 458.54

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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.