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Finding the Fourth Proportional to 695.98, 960.47 and 401.28

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Solution

The fourth proportional to 695.98, 960.47 and 401.28 is: 553.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.98 : 960.47 = 401.28 : x
  2. Step 2: Convert to fraction form
    695.98/960.47 = 401.28/x
  3. Step 3: Cross multiply
    695.98x = 960.47 × 401.28
  4. Step 4: Simplify right side
    695.98x = 385,417.40
  5. Step 5: Solve for x
    x = 385,417.40/695.98
  6. Step 6: Final answer
    x = 553.78

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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.