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Finding the Fourth Proportional to 701.43, 967.88 and 421.62

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Solution

The fourth proportional to 701.43, 967.88 and 421.62 is: 581.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.43 : 967.88 = 421.62 : x
  2. Step 2: Convert to fraction form
    701.43/967.88 = 421.62/x
  3. Step 3: Cross multiply
    701.43x = 967.88 × 421.62
  4. Step 4: Simplify right side
    701.43x = 408,077.57
  5. Step 5: Solve for x
    x = 408,077.57/701.43
  6. Step 6: Final answer
    x = 581.78

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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.