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Finding the Fourth Proportional to 511.50, 764.91 and 381.59

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Solution

The fourth proportional to 511.50, 764.91 and 381.59 is: 570.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.50 : 764.91 = 381.59 : x
  2. Step 2: Convert to fraction form
    511.50/764.91 = 381.59/x
  3. Step 3: Cross multiply
    511.50x = 764.91 × 381.59
  4. Step 4: Simplify right side
    511.50x = 291,882.01
  5. Step 5: Solve for x
    x = 291,882.01/511.50
  6. Step 6: Final answer
    x = 570.64

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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.