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Finding the Fourth Proportional to 419.05, 578.31 and 232.54

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Solution

The fourth proportional to 419.05, 578.31 and 232.54 is: 320.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.05 : 578.31 = 232.54 : x
  2. Step 2: Convert to fraction form
    419.05/578.31 = 232.54/x
  3. Step 3: Cross multiply
    419.05x = 578.31 × 232.54
  4. Step 4: Simplify right side
    419.05x = 134,480.21
  5. Step 5: Solve for x
    x = 134,480.21/419.05
  6. Step 6: Final answer
    x = 320.92

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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.