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Finding the Fourth Proportional to 695.76, 960.09 and 400.95

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Solution

The fourth proportional to 695.76, 960.09 and 400.95 is: 553.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.76 : 960.09 = 400.95 : x
  2. Step 2: Convert to fraction form
    695.76/960.09 = 400.95/x
  3. Step 3: Cross multiply
    695.76x = 960.09 × 400.95
  4. Step 4: Simplify right side
    695.76x = 384,948.09
  5. Step 5: Solve for x
    x = 384,948.09/695.76
  6. Step 6: Final answer
    x = 553.28

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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.