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Finding the Fourth Proportional to 695.64, 960.21 and 447.42

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Solution

The fourth proportional to 695.64, 960.21 and 447.42 is: 617.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.64 : 960.21 = 447.42 : x
  2. Step 2: Convert to fraction form
    695.64/960.21 = 447.42/x
  3. Step 3: Cross multiply
    695.64x = 960.21 × 447.42
  4. Step 4: Simplify right side
    695.64x = 429,617.16
  5. Step 5: Solve for x
    x = 429,617.16/695.64
  6. Step 6: Final answer
    x = 617.59

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