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Finding the Fourth Proportional to 419.14, 578.42 and 232.66

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Solution

The fourth proportional to 419.14, 578.42 and 232.66 is: 321.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.14 : 578.42 = 232.66 : x
  2. Step 2: Convert to fraction form
    419.14/578.42 = 232.66/x
  3. Step 3: Cross multiply
    419.14x = 578.42 × 232.66
  4. Step 4: Simplify right side
    419.14x = 134,575.20
  5. Step 5: Solve for x
    x = 134,575.20/419.14
  6. Step 6: Final answer
    x = 321.07

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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.