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Finding the Fourth Proportional to 511.92, 757.44 and 510.48

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Solution

The fourth proportional to 511.92, 757.44 and 510.48 is: 755.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.92 : 757.44 = 510.48 : x
  2. Step 2: Convert to fraction form
    511.92/757.44 = 510.48/x
  3. Step 3: Cross multiply
    511.92x = 757.44 × 510.48
  4. Step 4: Simplify right side
    511.92x = 386,657.97
  5. Step 5: Solve for x
    x = 386,657.97/511.92
  6. Step 6: Final answer
    x = 755.31

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.