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Finding the Fourth Proportional to 695.12, 959.22 and 380.32

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Solution

The fourth proportional to 695.12, 959.22 and 380.32 is: 524.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.12 : 959.22 = 380.32 : x
  2. Step 2: Convert to fraction form
    695.12/959.22 = 380.32/x
  3. Step 3: Cross multiply
    695.12x = 959.22 × 380.32
  4. Step 4: Simplify right side
    695.12x = 364,809.78
  5. Step 5: Solve for x
    x = 364,809.78/695.12
  6. Step 6: Final answer
    x = 524.82

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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.