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Finding the Fourth Proportional to 466.79, 699.16 and 327.37

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Solution

The fourth proportional to 466.79, 699.16 and 327.37 is: 490.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.79 : 699.16 = 327.37 : x
  2. Step 2: Convert to fraction form
    466.79/699.16 = 327.37/x
  3. Step 3: Cross multiply
    466.79x = 699.16 × 327.37
  4. Step 4: Simplify right side
    466.79x = 228,880.48
  5. Step 5: Solve for x
    x = 228,880.48/466.79
  6. Step 6: Final answer
    x = 490.33

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Why These Related Problems?

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