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Finding the Fourth Proportional to 432.40, 646.96 and 329.32

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Solution

The fourth proportional to 432.40, 646.96 and 329.32 is: 492.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.40 : 646.96 = 329.32 : x
  2. Step 2: Convert to fraction form
    432.40/646.96 = 329.32/x
  3. Step 3: Cross multiply
    432.40x = 646.96 × 329.32
  4. Step 4: Simplify right side
    432.40x = 213,056.87
  5. Step 5: Solve for x
    x = 213,056.87/432.40
  6. Step 6: Final answer
    x = 492.73

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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.