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Finding the Fourth Proportional to 695.51, 959.83 and 380.75

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Solution

The fourth proportional to 695.51, 959.83 and 380.75 is: 525.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.51 : 959.83 = 380.75 : x
  2. Step 2: Convert to fraction form
    695.51/959.83 = 380.75/x
  3. Step 3: Cross multiply
    695.51x = 959.83 × 380.75
  4. Step 4: Simplify right side
    695.51x = 365,456.72
  5. Step 5: Solve for x
    x = 365,456.72/695.51
  6. Step 6: Final answer
    x = 525.45

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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.