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Finding the Fourth Proportional to 419.21, 578.48 and 232.69

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Solution

The fourth proportional to 419.21, 578.48 and 232.69 is: 321.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.21 : 578.48 = 232.69 : x
  2. Step 2: Convert to fraction form
    419.21/578.48 = 232.69/x
  3. Step 3: Cross multiply
    419.21x = 578.48 × 232.69
  4. Step 4: Simplify right side
    419.21x = 134,603.53
  5. Step 5: Solve for x
    x = 134,603.53/419.21
  6. Step 6: Final answer
    x = 321.09

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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.