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Finding the Fourth Proportional to 695.22, 959.37 and 380.49

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Solution

The fourth proportional to 695.22, 959.37 and 380.49 is: 525.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.22 : 959.37 = 380.49 : x
  2. Step 2: Convert to fraction form
    695.22/959.37 = 380.49/x
  3. Step 3: Cross multiply
    695.22x = 959.37 × 380.49
  4. Step 4: Simplify right side
    695.22x = 365,030.69
  5. Step 5: Solve for x
    x = 365,030.69/695.22
  6. Step 6: Final answer
    x = 525.06

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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.