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Finding the Fourth Proportional to 696.52, 961.16 and 381.73

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Solution

The fourth proportional to 696.52, 961.16 and 381.73 is: 526.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.52 : 961.16 = 381.73 : x
  2. Step 2: Convert to fraction form
    696.52/961.16 = 381.73/x
  3. Step 3: Cross multiply
    696.52x = 961.16 × 381.73
  4. Step 4: Simplify right side
    696.52x = 366,901.10
  5. Step 5: Solve for x
    x = 366,901.10/696.52
  6. Step 6: Final answer
    x = 526.76

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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.