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Finding the Fourth Proportional to 511.97, 767.50 and 381.80

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Solution

The fourth proportional to 511.97, 767.50 and 381.80 is: 572.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.97 : 767.50 = 381.80 : x
  2. Step 2: Convert to fraction form
    511.97/767.50 = 381.80/x
  3. Step 3: Cross multiply
    511.97x = 767.50 × 381.80
  4. Step 4: Simplify right side
    511.97x = 293,032.46
  5. Step 5: Solve for x
    x = 293,032.46/511.97
  6. Step 6: Final answer
    x = 572.37

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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.