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Finding the Fourth Proportional to 418.82, 577.97 and 232.31

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Solution

The fourth proportional to 418.82, 577.97 and 232.31 is: 320.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.82 : 577.97 = 232.31 : x
  2. Step 2: Convert to fraction form
    418.82/577.97 = 232.31/x
  3. Step 3: Cross multiply
    418.82x = 577.97 × 232.31
  4. Step 4: Simplify right side
    418.82x = 134,268.49
  5. Step 5: Solve for x
    x = 134,268.49/418.82
  6. Step 6: Final answer
    x = 320.59

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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.