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Finding the Fourth Proportional to 503.62, 755.34 and 229.72

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Solution

The fourth proportional to 503.62, 755.34 and 229.72 is: 344.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.62 : 755.34 = 229.72 : x
  2. Step 2: Convert to fraction form
    503.62/755.34 = 229.72/x
  3. Step 3: Cross multiply
    503.62x = 755.34 × 229.72
  4. Step 4: Simplify right side
    503.62x = 173,516.70
  5. Step 5: Solve for x
    x = 173,516.70/503.62
  6. Step 6: Final answer
    x = 344.54

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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.