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Finding the Fourth Proportional to 511.69, 767.64 and 219.19

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Solution

The fourth proportional to 511.69, 767.64 and 219.19 is: 328.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.69 : 767.64 = 219.19 : x
  2. Step 2: Convert to fraction form
    511.69/767.64 = 219.19/x
  3. Step 3: Cross multiply
    511.69x = 767.64 × 219.19
  4. Step 4: Simplify right side
    511.69x = 168,257.92
  5. Step 5: Solve for x
    x = 168,257.92/511.69
  6. Step 6: Final answer
    x = 328.83

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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.