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Finding the Fourth Proportional to 695.43, 960.17 and 456.57

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Solution

The fourth proportional to 695.43, 960.17 and 456.57 is: 630.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.43 : 960.17 = 456.57 : x
  2. Step 2: Convert to fraction form
    695.43/960.17 = 456.57/x
  3. Step 3: Cross multiply
    695.43x = 960.17 × 456.57
  4. Step 4: Simplify right side
    695.43x = 438,382.53
  5. Step 5: Solve for x
    x = 438,382.53/695.43
  6. Step 6: Final answer
    x = 630.38

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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.