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Finding the Fourth Proportional to 419.47, 578.86 and 232.97

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Solution

The fourth proportional to 419.47, 578.86 and 232.97 is: 321.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.47 : 578.86 = 232.97 : x
  2. Step 2: Convert to fraction form
    419.47/578.86 = 232.97/x
  3. Step 3: Cross multiply
    419.47x = 578.86 × 232.97
  4. Step 4: Simplify right side
    419.47x = 134,857.01
  5. Step 5: Solve for x
    x = 134,857.01/419.47
  6. Step 6: Final answer
    x = 321.49

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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.