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Finding the Fourth Proportional to 695.15, 1,042.95 and 329.96

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Solution

The fourth proportional to 695.15, 1,042.95 and 329.96 is: 495.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.15 : 1,042.95 = 329.96 : x
  2. Step 2: Convert to fraction form
    695.15/1,042.95 = 329.96/x
  3. Step 3: Cross multiply
    695.15x = 1,042.95 × 329.96
  4. Step 4: Simplify right side
    695.15x = 344,126.57
  5. Step 5: Solve for x
    x = 344,126.57/695.15
  6. Step 6: Final answer
    x = 495.04

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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.