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Finding the Fourth Proportional to 511.06, 765.86 and 496.26

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Solution

The fourth proportional to 511.06, 765.86 and 496.26 is: 743.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.06 : 765.86 = 496.26 : x
  2. Step 2: Convert to fraction form
    511.06/765.86 = 496.26/x
  3. Step 3: Cross multiply
    511.06x = 765.86 × 496.26
  4. Step 4: Simplify right side
    511.06x = 380,065.68
  5. Step 5: Solve for x
    x = 380,065.68/511.06
  6. Step 6: Final answer
    x = 743.68

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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.