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Finding the Fourth Proportional to 485.53, 728.26 and 229.03

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Solution

The fourth proportional to 485.53, 728.26 and 229.03 is: 343.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.53 : 728.26 = 229.03 : x
  2. Step 2: Convert to fraction form
    485.53/728.26 = 229.03/x
  3. Step 3: Cross multiply
    485.53x = 728.26 × 229.03
  4. Step 4: Simplify right side
    485.53x = 166,793.39
  5. Step 5: Solve for x
    x = 166,793.39/485.53
  6. Step 6: Final answer
    x = 343.53

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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.