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Finding the Fourth Proportional to 696.63, 961.34 and 386.13

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Solution

The fourth proportional to 696.63, 961.34 and 386.13 is: 532.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.63 : 961.34 = 386.13 : x
  2. Step 2: Convert to fraction form
    696.63/961.34 = 386.13/x
  3. Step 3: Cross multiply
    696.63x = 961.34 × 386.13
  4. Step 4: Simplify right side
    696.63x = 371,202.21
  5. Step 5: Solve for x
    x = 371,202.21/696.63
  6. Step 6: Final answer
    x = 532.85

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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.