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Finding the Fourth Proportional to 695.91, 960.08 and 416.04

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Solution

The fourth proportional to 695.91, 960.08 and 416.04 is: 573.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.91 : 960.08 = 416.04 : x
  2. Step 2: Convert to fraction form
    695.91/960.08 = 416.04/x
  3. Step 3: Cross multiply
    695.91x = 960.08 × 416.04
  4. Step 4: Simplify right side
    695.91x = 399,429.60
  5. Step 5: Solve for x
    x = 399,429.60/695.91
  6. Step 6: Final answer
    x = 573.97

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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.