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Finding the Fourth Proportional to 418.39, 577.41 and 231.90

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Solution

The fourth proportional to 418.39, 577.41 and 231.90 is: 320.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.39 : 577.41 = 231.90 : x
  2. Step 2: Convert to fraction form
    418.39/577.41 = 231.90/x
  3. Step 3: Cross multiply
    418.39x = 577.41 × 231.90
  4. Step 4: Simplify right side
    418.39x = 133,899.16
  5. Step 5: Solve for x
    x = 133,899.16/418.39
  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.