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Finding the Fourth Proportional to 695.86, 960.37 and 416.09

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Solution

The fourth proportional to 695.86, 960.37 and 416.09 is: 574.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.86 : 960.37 = 416.09 : x
  2. Step 2: Convert to fraction form
    695.86/960.37 = 416.09/x
  3. Step 3: Cross multiply
    695.86x = 960.37 × 416.09
  4. Step 4: Simplify right side
    695.86x = 399,595.53
  5. Step 5: Solve for x
    x = 399,595.53/695.86
  6. Step 6: Final answer
    x = 574.25

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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.