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Finding the Fourth Proportional to 701.67, 968.01 and 421.82

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Solution

The fourth proportional to 701.67, 968.01 and 421.82 is: 581.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.67 : 968.01 = 421.82 : x
  2. Step 2: Convert to fraction form
    701.67/968.01 = 421.82/x
  3. Step 3: Cross multiply
    701.67x = 968.01 × 421.82
  4. Step 4: Simplify right side
    701.67x = 408,325.98
  5. Step 5: Solve for x
    x = 408,325.98/701.67
  6. Step 6: Final answer
    x = 581.93

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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.