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Finding the Fourth Proportional to 418.72, 577.83 and 244.09

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Solution

The fourth proportional to 418.72, 577.83 and 244.09 is: 336.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.72 : 577.83 = 244.09 : x
  2. Step 2: Convert to fraction form
    418.72/577.83 = 244.09/x
  3. Step 3: Cross multiply
    418.72x = 577.83 × 244.09
  4. Step 4: Simplify right side
    418.72x = 141,042.52
  5. Step 5: Solve for x
    x = 141,042.52/418.72
  6. Step 6: Final answer
    x = 336.84

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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.