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Finding the Fourth Proportional to 696.20, 960.74 and 385.70

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Solution

The fourth proportional to 696.20, 960.74 and 385.70 is: 532.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.20 : 960.74 = 385.70 : x
  2. Step 2: Convert to fraction form
    696.20/960.74 = 385.70/x
  3. Step 3: Cross multiply
    696.20x = 960.74 × 385.70
  4. Step 4: Simplify right side
    696.20x = 370,550.69
  5. Step 5: Solve for x
    x = 370,550.69/696.20
  6. Step 6: Final answer
    x = 532.25

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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.