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Finding the Fourth Proportional to 418.07, 576.94 and 231.56

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Solution

The fourth proportional to 418.07, 576.94 and 231.56 is: 319.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.07 : 576.94 = 231.56 : x
  2. Step 2: Convert to fraction form
    418.07/576.94 = 231.56/x
  3. Step 3: Cross multiply
    418.07x = 576.94 × 231.56
  4. Step 4: Simplify right side
    418.07x = 133,592.18
  5. Step 5: Solve for x
    x = 133,592.18/418.07
  6. Step 6: Final answer
    x = 319.55

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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.