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Finding the Fourth Proportional to 695.59, 959.88 and 380.85

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Solution

The fourth proportional to 695.59, 959.88 and 380.85 is: 525.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.59 : 959.88 = 380.85 : x
  2. Step 2: Convert to fraction form
    695.59/959.88 = 380.85/x
  3. Step 3: Cross multiply
    695.59x = 959.88 × 380.85
  4. Step 4: Simplify right side
    695.59x = 365,570.77
  5. Step 5: Solve for x
    x = 365,570.77/695.59
  6. Step 6: Final answer
    x = 525.55

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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.