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Finding the Fourth Proportional to 397.89, 596.83 and 178.46

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Solution

The fourth proportional to 397.89, 596.83 and 178.46 is: 267.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.89 : 596.83 = 178.46 : x
  2. Step 2: Convert to fraction form
    397.89/596.83 = 178.46/x
  3. Step 3: Cross multiply
    397.89x = 596.83 × 178.46
  4. Step 4: Simplify right side
    397.89x = 106,508.79
  5. Step 5: Solve for x
    x = 106,508.79/397.89
  6. Step 6: Final answer
    x = 267.68

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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.