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Finding the Fourth Proportional to 418.98, 578.25 and 244.33

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Solution

The fourth proportional to 418.98, 578.25 and 244.33 is: 337.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.98 : 578.25 = 244.33 : x
  2. Step 2: Convert to fraction form
    418.98/578.25 = 244.33/x
  3. Step 3: Cross multiply
    418.98x = 578.25 × 244.33
  4. Step 4: Simplify right side
    418.98x = 141,283.82
  5. Step 5: Solve for x
    x = 141,283.82/418.98
  6. Step 6: Final answer
    x = 337.21

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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.