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Finding the Fourth Proportional to 695.97, 960.61 and 401.41

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Solution

The fourth proportional to 695.97, 960.61 and 401.41 is: 554.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.97 : 960.61 = 401.41 : x
  2. Step 2: Convert to fraction form
    695.97/960.61 = 401.41/x
  3. Step 3: Cross multiply
    695.97x = 960.61 × 401.41
  4. Step 4: Simplify right side
    695.97x = 385,596.45
  5. Step 5: Solve for x
    x = 385,596.45/695.97
  6. Step 6: Final answer
    x = 554.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.