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Finding the Fourth Proportional to 696.12, 960.64 and 385.62

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Solution

The fourth proportional to 696.12, 960.64 and 385.62 is: 532.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.12 : 960.64 = 385.62 : x
  2. Step 2: Convert to fraction form
    696.12/960.64 = 385.62/x
  3. Step 3: Cross multiply
    696.12x = 960.64 × 385.62
  4. Step 4: Simplify right side
    696.12x = 370,438.88
  5. Step 5: Solve for x
    x = 370,438.88/696.12
  6. Step 6: Final answer
    x = 532.15

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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.