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Finding the Fourth Proportional to 397.29, 596.22 and 235.02

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Solution

The fourth proportional to 397.29, 596.22 and 235.02 is: 352.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.29 : 596.22 = 235.02 : x
  2. Step 2: Convert to fraction form
    397.29/596.22 = 235.02/x
  3. Step 3: Cross multiply
    397.29x = 596.22 × 235.02
  4. Step 4: Simplify right side
    397.29x = 140,123.62
  5. Step 5: Solve for x
    x = 140,123.62/397.29
  6. Step 6: Final answer
    x = 352.70

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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.