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Finding the Fourth Proportional to 397.56, 596.24 and 235.36

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Solution

The fourth proportional to 397.56, 596.24 and 235.36 is: 352.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.56 : 596.24 = 235.36 : x
  2. Step 2: Convert to fraction form
    397.56/596.24 = 235.36/x
  3. Step 3: Cross multiply
    397.56x = 596.24 × 235.36
  4. Step 4: Simplify right side
    397.56x = 140,331.05
  5. Step 5: Solve for x
    x = 140,331.05/397.56
  6. Step 6: Final answer
    x = 352.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.