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Finding the Fourth Proportional to 701.51, 968.16 and 421.73

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Solution

The fourth proportional to 701.51, 968.16 and 421.73 is: 582.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.51 : 968.16 = 421.73 : x
  2. Step 2: Convert to fraction form
    701.51/968.16 = 421.73/x
  3. Step 3: Cross multiply
    701.51x = 968.16 × 421.73
  4. Step 4: Simplify right side
    701.51x = 408,302.12
  5. Step 5: Solve for x
    x = 408,302.12/701.51
  6. Step 6: Final answer
    x = 582.03

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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.