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Finding the Fourth Proportional to 334.44, 463.50 and 329.32

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Solution

The fourth proportional to 334.44, 463.50 and 329.32 is: 456.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.44 : 463.50 = 329.32 : x
  2. Step 2: Convert to fraction form
    334.44/463.50 = 329.32/x
  3. Step 3: Cross multiply
    334.44x = 463.50 × 329.32
  4. Step 4: Simplify right side
    334.44x = 152,636.87
  5. Step 5: Solve for x
    x = 152,636.87/334.44
  6. Step 6: Final answer
    x = 456.39

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.