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Finding the Fourth Proportional to 418.91, 577.94 and 241.82

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Solution

The fourth proportional to 418.91, 577.94 and 241.82 is: 333.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.91 : 577.94 = 241.82 : x
  2. Step 2: Convert to fraction form
    418.91/577.94 = 241.82/x
  3. Step 3: Cross multiply
    418.91x = 577.94 × 241.82
  4. Step 4: Simplify right side
    418.91x = 139,757.45
  5. Step 5: Solve for x
    x = 139,757.45/418.91
  6. Step 6: Final answer
    x = 333.62

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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.