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Finding the Fourth Proportional to 695.19, 1,043.29 and 329.97

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Solution

The fourth proportional to 695.19, 1,043.29 and 329.97 is: 495.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.19 : 1,043.29 = 329.97 : x
  2. Step 2: Convert to fraction form
    695.19/1,043.29 = 329.97/x
  3. Step 3: Cross multiply
    695.19x = 1,043.29 × 329.97
  4. Step 4: Simplify right side
    695.19x = 344,254.40
  5. Step 5: Solve for x
    x = 344,254.40/695.19
  6. Step 6: Final answer
    x = 495.20

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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.