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Finding the Fourth Proportional to 696.26, 960.82 and 381.52

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Solution

The fourth proportional to 696.26, 960.82 and 381.52 is: 526.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.26 : 960.82 = 381.52 : x
  2. Step 2: Convert to fraction form
    696.26/960.82 = 381.52/x
  3. Step 3: Cross multiply
    696.26x = 960.82 × 381.52
  4. Step 4: Simplify right side
    696.26x = 366,572.05
  5. Step 5: Solve for x
    x = 366,572.05/696.26
  6. Step 6: Final answer
    x = 526.49

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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.