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Finding the Fourth Proportional to 366.48, 548.52 and 229.62

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Solution

The fourth proportional to 366.48, 548.52 and 229.62 is: 343.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.48 : 548.52 = 229.62 : x
  2. Step 2: Convert to fraction form
    366.48/548.52 = 229.62/x
  3. Step 3: Cross multiply
    366.48x = 548.52 × 229.62
  4. Step 4: Simplify right side
    366.48x = 125,951.16
  5. Step 5: Solve for x
    x = 125,951.16/366.48
  6. Step 6: Final answer
    x = 343.68

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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.