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Finding the Fourth Proportional to 419.48, 578.90 and 232.97

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Solution

The fourth proportional to 419.48, 578.90 and 232.97 is: 321.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.48 : 578.90 = 232.97 : x
  2. Step 2: Convert to fraction form
    419.48/578.90 = 232.97/x
  3. Step 3: Cross multiply
    419.48x = 578.90 × 232.97
  4. Step 4: Simplify right side
    419.48x = 134,862.27
  5. Step 5: Solve for x
    x = 134,862.27/419.48
  6. Step 6: Final answer
    x = 321.50

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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.