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Finding the Fourth Proportional to 503.24, 754.21 and 229.33

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Solution

The fourth proportional to 503.24, 754.21 and 229.33 is: 343.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.24 : 754.21 = 229.33 : x
  2. Step 2: Convert to fraction form
    503.24/754.21 = 229.33/x
  3. Step 3: Cross multiply
    503.24x = 754.21 × 229.33
  4. Step 4: Simplify right side
    503.24x = 172,964.21
  5. Step 5: Solve for x
    x = 172,964.21/503.24
  6. Step 6: Final answer
    x = 343.70

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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.