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Finding the Fourth Proportional to 466.43, 699.98 and 329.67

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Solution

The fourth proportional to 466.43, 699.98 and 329.67 is: 494.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.43 : 699.98 = 329.67 : x
  2. Step 2: Convert to fraction form
    466.43/699.98 = 329.67/x
  3. Step 3: Cross multiply
    466.43x = 699.98 × 329.67
  4. Step 4: Simplify right side
    466.43x = 230,760.76
  5. Step 5: Solve for x
    x = 230,760.76/466.43
  6. Step 6: Final answer
    x = 494.74

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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.