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Finding the Fourth Proportional to 397.81, 596.58 and 178.43

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Solution

The fourth proportional to 397.81, 596.58 and 178.43 is: 267.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.81 : 596.58 = 178.43 : x
  2. Step 2: Convert to fraction form
    397.81/596.58 = 178.43/x
  3. Step 3: Cross multiply
    397.81x = 596.58 × 178.43
  4. Step 4: Simplify right side
    397.81x = 106,446.05
  5. Step 5: Solve for x
    x = 106,446.05/397.81
  6. Step 6: Final answer
    x = 267.58

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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.