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Finding the Fourth Proportional to 695.24, 959.60 and 474.28

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Solution

The fourth proportional to 695.24, 959.60 and 474.28 is: 654.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.24 : 959.60 = 474.28 : x
  2. Step 2: Convert to fraction form
    695.24/959.60 = 474.28/x
  3. Step 3: Cross multiply
    695.24x = 959.60 × 474.28
  4. Step 4: Simplify right side
    695.24x = 455,119.09
  5. Step 5: Solve for x
    x = 455,119.09/695.24
  6. Step 6: Final answer
    x = 654.62

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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.