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Finding the Fourth Proportional to 397.56, 596.31 and 224.19

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Solution

The fourth proportional to 397.56, 596.31 and 224.19 is: 336.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.56 : 596.31 = 224.19 : x
  2. Step 2: Convert to fraction form
    397.56/596.31 = 224.19/x
  3. Step 3: Cross multiply
    397.56x = 596.31 × 224.19
  4. Step 4: Simplify right side
    397.56x = 133,686.74
  5. Step 5: Solve for x
    x = 133,686.74/397.56
  6. Step 6: Final answer
    x = 336.27

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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.