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Finding the Fourth Proportional to 695.75, 960.01 and 416.09

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Solution

The fourth proportional to 695.75, 960.01 and 416.09 is: 574.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.75 : 960.01 = 416.09 : x
  2. Step 2: Convert to fraction form
    695.75/960.01 = 416.09/x
  3. Step 3: Cross multiply
    695.75x = 960.01 × 416.09
  4. Step 4: Simplify right side
    695.75x = 399,448.48
  5. Step 5: Solve for x
    x = 399,448.48/695.75
  6. Step 6: Final answer
    x = 574.13

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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.