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Finding the Fourth Proportional to 695.30, 959.52 and 380.56

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Solution

The fourth proportional to 695.30, 959.52 and 380.56 is: 525.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.30 : 959.52 = 380.56 : x
  2. Step 2: Convert to fraction form
    695.30/959.52 = 380.56/x
  3. Step 3: Cross multiply
    695.30x = 959.52 × 380.56
  4. Step 4: Simplify right side
    695.30x = 365,154.93
  5. Step 5: Solve for x
    x = 365,154.93/695.30
  6. Step 6: Final answer
    x = 525.18

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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.