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Finding the Fourth Proportional to 697.73, 961.81 and 435.29

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Solution

The fourth proportional to 697.73, 961.81 and 435.29 is: 600.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.73 : 961.81 = 435.29 : x
  2. Step 2: Convert to fraction form
    697.73/961.81 = 435.29/x
  3. Step 3: Cross multiply
    697.73x = 961.81 × 435.29
  4. Step 4: Simplify right side
    697.73x = 418,660.38
  5. Step 5: Solve for x
    x = 418,660.38/697.73
  6. Step 6: Final answer
    x = 600.04

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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.