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Finding the Fourth Proportional to 466.75, 644.25 and 311.50

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Solution

The fourth proportional to 466.75, 644.25 and 311.50 is: 429.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.75 : 644.25 = 311.50 : x
  2. Step 2: Convert to fraction form
    466.75/644.25 = 311.50/x
  3. Step 3: Cross multiply
    466.75x = 644.25 × 311.50
  4. Step 4: Simplify right side
    466.75x = 200,683.88
  5. Step 5: Solve for x
    x = 200,683.88/466.75
  6. Step 6: Final answer
    x = 429.96

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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.