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Finding the Fourth Proportional to 397.74, 596.61 and 235.23

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Solution

The fourth proportional to 397.74, 596.61 and 235.23 is: 352.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.74 : 596.61 = 235.23 : x
  2. Step 2: Convert to fraction form
    397.74/596.61 = 235.23/x
  3. Step 3: Cross multiply
    397.74x = 596.61 × 235.23
  4. Step 4: Simplify right side
    397.74x = 140,340.57
  5. Step 5: Solve for x
    x = 140,340.57/397.74
  6. Step 6: Final answer
    x = 352.85

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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.