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Finding the Fourth Proportional to 503.70, 754.67 and 349.73

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Solution

The fourth proportional to 503.70, 754.67 and 349.73 is: 523.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.70 : 754.67 = 349.73 : x
  2. Step 2: Convert to fraction form
    503.70/754.67 = 349.73/x
  3. Step 3: Cross multiply
    503.70x = 754.67 × 349.73
  4. Step 4: Simplify right side
    503.70x = 263,928.85
  5. Step 5: Solve for x
    x = 263,928.85/503.70
  6. Step 6: Final answer
    x = 523.98

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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.