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Finding the Fourth Proportional to 511.77, 767.97 and 223.23

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Solution

The fourth proportional to 511.77, 767.97 and 223.23 is: 334.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.77 : 767.97 = 223.23 : x
  2. Step 2: Convert to fraction form
    511.77/767.97 = 223.23/x
  3. Step 3: Cross multiply
    511.77x = 767.97 × 223.23
  4. Step 4: Simplify right side
    511.77x = 171,433.94
  5. Step 5: Solve for x
    x = 171,433.94/511.77
  6. Step 6: Final answer
    x = 334.98

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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.