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Finding the Fourth Proportional to 484.50, 725.30 and 329.20

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Solution

The fourth proportional to 484.50, 725.30 and 329.20 is: 492.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.50 : 725.30 = 329.20 : x
  2. Step 2: Convert to fraction form
    484.50/725.30 = 329.20/x
  3. Step 3: Cross multiply
    484.50x = 725.30 × 329.20
  4. Step 4: Simplify right side
    484.50x = 238,768.76
  5. Step 5: Solve for x
    x = 238,768.76/484.50
  6. Step 6: Final answer
    x = 492.81

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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.