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Finding the Fourth Proportional to 397.53, 595.96 and 154.23

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Solution

The fourth proportional to 397.53, 595.96 and 154.23 is: 231.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.53 : 595.96 = 154.23 : x
  2. Step 2: Convert to fraction form
    397.53/595.96 = 154.23/x
  3. Step 3: Cross multiply
    397.53x = 595.96 × 154.23
  4. Step 4: Simplify right side
    397.53x = 91,914.14
  5. Step 5: Solve for x
    x = 91,914.14/397.53
  6. Step 6: Final answer
    x = 231.21

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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.