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Finding the Fourth Proportional to 695.71, 960.27 and 415.96

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Solution

The fourth proportional to 695.71, 960.27 and 415.96 is: 574.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.71 : 960.27 = 415.96 : x
  2. Step 2: Convert to fraction form
    695.71/960.27 = 415.96/x
  3. Step 3: Cross multiply
    695.71x = 960.27 × 415.96
  4. Step 4: Simplify right side
    695.71x = 399,433.91
  5. Step 5: Solve for x
    x = 399,433.91/695.71
  6. Step 6: Final answer
    x = 574.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.