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Finding the Fourth Proportional to 418.66, 577.78 and 244.03

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Solution

The fourth proportional to 418.66, 577.78 and 244.03 is: 336.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.66 : 577.78 = 244.03 : x
  2. Step 2: Convert to fraction form
    418.66/577.78 = 244.03/x
  3. Step 3: Cross multiply
    418.66x = 577.78 × 244.03
  4. Step 4: Simplify right side
    418.66x = 140,995.65
  5. Step 5: Solve for x
    x = 140,995.65/418.66
  6. Step 6: Final answer
    x = 336.78

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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.