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Finding the Fourth Proportional to 418.05, 576.87 and 231.53

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Solution

The fourth proportional to 418.05, 576.87 and 231.53 is: 319.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.05 : 576.87 = 231.53 : x
  2. Step 2: Convert to fraction form
    418.05/576.87 = 231.53/x
  3. Step 3: Cross multiply
    418.05x = 576.87 × 231.53
  4. Step 4: Simplify right side
    418.05x = 133,559.83
  5. Step 5: Solve for x
    x = 133,559.83/418.05
  6. Step 6: Final answer
    x = 319.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.