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Finding the Fourth Proportional to 695.65, 960.16 and 401.09

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Solution

The fourth proportional to 695.65, 960.16 and 401.09 is: 553.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.65 : 960.16 = 401.09 : x
  2. Step 2: Convert to fraction form
    695.65/960.16 = 401.09/x
  3. Step 3: Cross multiply
    695.65x = 960.16 × 401.09
  4. Step 4: Simplify right side
    695.65x = 385,110.57
  5. Step 5: Solve for x
    x = 385,110.57/695.65
  6. Step 6: Final answer
    x = 553.60

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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.