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Finding the Fourth Proportional to 695.25, 1,042.19 and 329.39

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Solution

The fourth proportional to 695.25, 1,042.19 and 329.39 is: 493.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.25 : 1,042.19 = 329.39 : x
  2. Step 2: Convert to fraction form
    695.25/1,042.19 = 329.39/x
  3. Step 3: Cross multiply
    695.25x = 1,042.19 × 329.39
  4. Step 4: Simplify right side
    695.25x = 343,287.92
  5. Step 5: Solve for x
    x = 343,287.92/695.25
  6. Step 6: Final answer
    x = 493.76

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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.