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Finding the Fourth Proportional to 701.93, 969.07 and 466.21

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Solution

The fourth proportional to 701.93, 969.07 and 466.21 is: 643.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.93 : 969.07 = 466.21 : x
  2. Step 2: Convert to fraction form
    701.93/969.07 = 466.21/x
  3. Step 3: Cross multiply
    701.93x = 969.07 × 466.21
  4. Step 4: Simplify right side
    701.93x = 451,783.53
  5. Step 5: Solve for x
    x = 451,783.53/701.93
  6. Step 6: Final answer
    x = 643.63

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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.