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Finding the Fourth Proportional to 695.87, 960.31 and 381.14

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Solution

The fourth proportional to 695.87, 960.31 and 381.14 is: 525.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.87 : 960.31 = 381.14 : x
  2. Step 2: Convert to fraction form
    695.87/960.31 = 381.14/x
  3. Step 3: Cross multiply
    695.87x = 960.31 × 381.14
  4. Step 4: Simplify right side
    695.87x = 366,012.55
  5. Step 5: Solve for x
    x = 366,012.55/695.87
  6. Step 6: Final answer
    x = 525.98

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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.