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Finding the Fourth Proportional to 695.68, 960.18 and 415.96

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Solution

The fourth proportional to 695.68, 960.18 and 415.96 is: 574.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.68 : 960.18 = 415.96 : x
  2. Step 2: Convert to fraction form
    695.68/960.18 = 415.96/x
  3. Step 3: Cross multiply
    695.68x = 960.18 × 415.96
  4. Step 4: Simplify right side
    695.68x = 399,394.07
  5. Step 5: Solve for x
    x = 399,394.07/695.68
  6. Step 6: Final answer
    x = 574.11

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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.