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Finding the Fourth Proportional to 695.35, 959.56 and 380.62

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Solution

The fourth proportional to 695.35, 959.56 and 380.62 is: 525.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.35 : 959.56 = 380.62 : x
  2. Step 2: Convert to fraction form
    695.35/959.56 = 380.62/x
  3. Step 3: Cross multiply
    695.35x = 959.56 × 380.62
  4. Step 4: Simplify right side
    695.35x = 365,227.73
  5. Step 5: Solve for x
    x = 365,227.73/695.35
  6. Step 6: Final answer
    x = 525.24

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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.