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Finding the Fourth Proportional to 701.91, 968.11 and 465.44

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Solution

The fourth proportional to 701.91, 968.11 and 465.44 is: 641.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.91 : 968.11 = 465.44 : x
  2. Step 2: Convert to fraction form
    701.91/968.11 = 465.44/x
  3. Step 3: Cross multiply
    701.91x = 968.11 × 465.44
  4. Step 4: Simplify right side
    701.91x = 450,597.12
  5. Step 5: Solve for x
    x = 450,597.12/701.91
  6. Step 6: Final answer
    x = 641.96

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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.