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Finding the Fourth Proportional to 695.38, 959.62 and 400.62

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Solution

The fourth proportional to 695.38, 959.62 and 400.62 is: 552.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.38 : 959.62 = 400.62 : x
  2. Step 2: Convert to fraction form
    695.38/959.62 = 400.62/x
  3. Step 3: Cross multiply
    695.38x = 959.62 × 400.62
  4. Step 4: Simplify right side
    695.38x = 384,442.96
  5. Step 5: Solve for x
    x = 384,442.96/695.38
  6. Step 6: Final answer
    x = 552.85

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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.