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Finding the Fourth Proportional to 419.35, 578.69 and 232.83

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Solution

The fourth proportional to 419.35, 578.69 and 232.83 is: 321.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.35 : 578.69 = 232.83 : x
  2. Step 2: Convert to fraction form
    419.35/578.69 = 232.83/x
  3. Step 3: Cross multiply
    419.35x = 578.69 × 232.83
  4. Step 4: Simplify right side
    419.35x = 134,732.34
  5. Step 5: Solve for x
    x = 134,732.34/419.35
  6. Step 6: Final answer
    x = 321.29

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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.