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Finding the Fourth Proportional to 419.35, 578.71 and 232.85

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Solution

The fourth proportional to 419.35, 578.71 and 232.85 is: 321.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.35 : 578.71 = 232.85 : x
  2. Step 2: Convert to fraction form
    419.35/578.71 = 232.85/x
  3. Step 3: Cross multiply
    419.35x = 578.71 × 232.85
  4. Step 4: Simplify right side
    419.35x = 134,755.42
  5. Step 5: Solve for x
    x = 134,755.42/419.35
  6. Step 6: Final answer
    x = 321.35

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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.