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Finding the Fourth Proportional to 695.19, 959.42 and 400.55

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Solution

The fourth proportional to 695.19, 959.42 and 400.55 is: 552.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.19 : 959.42 = 400.55 : x
  2. Step 2: Convert to fraction form
    695.19/959.42 = 400.55/x
  3. Step 3: Cross multiply
    695.19x = 959.42 × 400.55
  4. Step 4: Simplify right side
    695.19x = 384,295.68
  5. Step 5: Solve for x
    x = 384,295.68/695.19
  6. Step 6: Final answer
    x = 552.79

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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.