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Finding the Fourth Proportional to 695.76, 960.15 and 381.03

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Solution

The fourth proportional to 695.76, 960.15 and 381.03 is: 525.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.76 : 960.15 = 381.03 : x
  2. Step 2: Convert to fraction form
    695.76/960.15 = 381.03/x
  3. Step 3: Cross multiply
    695.76x = 960.15 × 381.03
  4. Step 4: Simplify right side
    695.76x = 365,841.15
  5. Step 5: Solve for x
    x = 365,841.15/695.76
  6. Step 6: Final answer
    x = 525.82

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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.