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Finding the Fourth Proportional to 466.57, 699.20 and 363.39

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Solution

The fourth proportional to 466.57, 699.20 and 363.39 is: 544.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.57 : 699.20 = 363.39 : x
  2. Step 2: Convert to fraction form
    466.57/699.20 = 363.39/x
  3. Step 3: Cross multiply
    466.57x = 699.20 × 363.39
  4. Step 4: Simplify right side
    466.57x = 254,082.29
  5. Step 5: Solve for x
    x = 254,082.29/466.57
  6. Step 6: Final answer
    x = 544.57

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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.