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Finding the Fourth Proportional to 701.96, 968.54 and 466.25

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Solution

The fourth proportional to 701.96, 968.54 and 466.25 is: 643.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.96 : 968.54 = 466.25 : x
  2. Step 2: Convert to fraction form
    701.96/968.54 = 466.25/x
  3. Step 3: Cross multiply
    701.96x = 968.54 × 466.25
  4. Step 4: Simplify right side
    701.96x = 451,581.87
  5. Step 5: Solve for x
    x = 451,581.87/701.96
  6. Step 6: Final answer
    x = 643.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.