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Finding the Fourth Proportional to 696.36, 960.96 and 385.92

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Solution

The fourth proportional to 696.36, 960.96 and 385.92 is: 532.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.36 : 960.96 = 385.92 : x
  2. Step 2: Convert to fraction form
    696.36/960.96 = 385.92/x
  3. Step 3: Cross multiply
    696.36x = 960.96 × 385.92
  4. Step 4: Simplify right side
    696.36x = 370,853.68
  5. Step 5: Solve for x
    x = 370,853.68/696.36
  6. Step 6: Final answer
    x = 532.56

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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.