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Finding the Fourth Proportional to 695.93, 960.28 and 416.13

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Solution

The fourth proportional to 695.93, 960.28 and 416.13 is: 574.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.93 : 960.28 = 416.13 : x
  2. Step 2: Convert to fraction form
    695.93/960.28 = 416.13/x
  3. Step 3: Cross multiply
    695.93x = 960.28 × 416.13
  4. Step 4: Simplify right side
    695.93x = 399,600.28
  5. Step 5: Solve for x
    x = 399,600.28/695.93
  6. Step 6: Final answer
    x = 574.19

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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.