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Finding the Fourth Proportional to 511.38, 766.63 and 237.33

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Solution

The fourth proportional to 511.38, 766.63 and 237.33 is: 355.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.38 : 766.63 = 237.33 : x
  2. Step 2: Convert to fraction form
    511.38/766.63 = 237.33/x
  3. Step 3: Cross multiply
    511.38x = 766.63 × 237.33
  4. Step 4: Simplify right side
    511.38x = 181,944.30
  5. Step 5: Solve for x
    x = 181,944.30/511.38
  6. Step 6: Final answer
    x = 355.79

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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.