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Finding the Fourth Proportional to 466.36, 698.04 and 422.60

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Solution

The fourth proportional to 466.36, 698.04 and 422.60 is: 632.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.36 : 698.04 = 422.60 : x
  2. Step 2: Convert to fraction form
    466.36/698.04 = 422.60/x
  3. Step 3: Cross multiply
    466.36x = 698.04 × 422.60
  4. Step 4: Simplify right side
    466.36x = 294,991.70
  5. Step 5: Solve for x
    x = 294,991.70/466.36
  6. Step 6: Final answer
    x = 632.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.