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Finding the Fourth Proportional to 697.29, 961.84 and 461.24

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Solution

The fourth proportional to 697.29, 961.84 and 461.24 is: 636.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.29 : 961.84 = 461.24 : x
  2. Step 2: Convert to fraction form
    697.29/961.84 = 461.24/x
  3. Step 3: Cross multiply
    697.29x = 961.84 × 461.24
  4. Step 4: Simplify right side
    697.29x = 443,639.08
  5. Step 5: Solve for x
    x = 443,639.08/697.29
  6. Step 6: Final answer
    x = 636.23

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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.