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Finding the Fourth Proportional to 418.96, 578.13 and 232.44

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Solution

The fourth proportional to 418.96, 578.13 and 232.44 is: 320.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.96 : 578.13 = 232.44 : x
  2. Step 2: Convert to fraction form
    418.96/578.13 = 232.44/x
  3. Step 3: Cross multiply
    418.96x = 578.13 × 232.44
  4. Step 4: Simplify right side
    418.96x = 134,377.65
  5. Step 5: Solve for x
    x = 134,377.65/418.96
  6. Step 6: Final answer
    x = 320.74

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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.