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Finding the Fourth Proportional to 695.92, 960.34 and 400.98

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Solution

The fourth proportional to 695.92, 960.34 and 400.98 is: 553.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.92 : 960.34 = 400.98 : x
  2. Step 2: Convert to fraction form
    695.92/960.34 = 400.98/x
  3. Step 3: Cross multiply
    695.92x = 960.34 × 400.98
  4. Step 4: Simplify right side
    695.92x = 385,077.13
  5. Step 5: Solve for x
    x = 385,077.13/695.92
  6. Step 6: Final answer
    x = 553.34

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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.