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Finding the Fourth Proportional to 418.42, 577.40 and 231.92

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Solution

The fourth proportional to 418.42, 577.40 and 231.92 is: 320.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.42 : 577.40 = 231.92 : x
  2. Step 2: Convert to fraction form
    418.42/577.40 = 231.92/x
  3. Step 3: Cross multiply
    418.42x = 577.40 × 231.92
  4. Step 4: Simplify right side
    418.42x = 133,910.61
  5. Step 5: Solve for x
    x = 133,910.61/418.42
  6. Step 6: Final answer
    x = 320.04

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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.