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Finding the Fourth Proportional to 419.48, 578.84 and 232.94

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Solution

The fourth proportional to 419.48, 578.84 and 232.94 is: 321.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.48 : 578.84 = 232.94 : x
  2. Step 2: Convert to fraction form
    419.48/578.84 = 232.94/x
  3. Step 3: Cross multiply
    419.48x = 578.84 × 232.94
  4. Step 4: Simplify right side
    419.48x = 134,834.99
  5. Step 5: Solve for x
    x = 134,834.99/419.48
  6. Step 6: Final answer
    x = 321.43

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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.