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Finding the Fourth Proportional to 503.55, 755.19 and 229.57

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Solution

The fourth proportional to 503.55, 755.19 and 229.57 is: 344.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.55 : 755.19 = 229.57 : x
  2. Step 2: Convert to fraction form
    503.55/755.19 = 229.57/x
  3. Step 3: Cross multiply
    503.55x = 755.19 × 229.57
  4. Step 4: Simplify right side
    503.55x = 173,367.08
  5. Step 5: Solve for x
    x = 173,367.08/503.55
  6. Step 6: Final answer
    x = 344.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.