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Finding the Fourth Proportional to 419.38, 578.74 and 232.86

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Solution

The fourth proportional to 419.38, 578.74 and 232.86 is: 321.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.38 : 578.74 = 232.86 : x
  2. Step 2: Convert to fraction form
    419.38/578.74 = 232.86/x
  3. Step 3: Cross multiply
    419.38x = 578.74 × 232.86
  4. Step 4: Simplify right side
    419.38x = 134,765.40
  5. Step 5: Solve for x
    x = 134,765.40/419.38
  6. Step 6: Final answer
    x = 321.34

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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.