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Finding the Fourth Proportional to 419.29, 578.60 and 232.78

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Solution

The fourth proportional to 419.29, 578.60 and 232.78 is: 321.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.29 : 578.60 = 232.78 : x
  2. Step 2: Convert to fraction form
    419.29/578.60 = 232.78/x
  3. Step 3: Cross multiply
    419.29x = 578.60 × 232.78
  4. Step 4: Simplify right side
    419.29x = 134,686.51
  5. Step 5: Solve for x
    x = 134,686.51/419.29
  6. Step 6: Final answer
    x = 321.23

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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.