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Finding the Fourth Proportional to 382.30, 573.40 and 229.20

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Solution

The fourth proportional to 382.30, 573.40 and 229.20 is: 343.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.30 : 573.40 = 229.20 : x
  2. Step 2: Convert to fraction form
    382.30/573.40 = 229.20/x
  3. Step 3: Cross multiply
    382.30x = 573.40 × 229.20
  4. Step 4: Simplify right side
    382.30x = 131,423.28
  5. Step 5: Solve for x
    x = 131,423.28/382.30
  6. Step 6: Final answer
    x = 343.77

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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.