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Finding the Fourth Proportional to 511.28, 763.44 and 445.04

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Solution

The fourth proportional to 511.28, 763.44 and 445.04 is: 664.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.28 : 763.44 = 445.04 : x
  2. Step 2: Convert to fraction form
    511.28/763.44 = 445.04/x
  3. Step 3: Cross multiply
    511.28x = 763.44 × 445.04
  4. Step 4: Simplify right side
    511.28x = 339,761.34
  5. Step 5: Solve for x
    x = 339,761.34/511.28
  6. Step 6: Final answer
    x = 664.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.