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Finding the Fourth Proportional to 418.88, 578.23 and 244.18

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Solution

The fourth proportional to 418.88, 578.23 and 244.18 is: 337.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.88 : 578.23 = 244.18 : x
  2. Step 2: Convert to fraction form
    418.88/578.23 = 244.18/x
  3. Step 3: Cross multiply
    418.88x = 578.23 × 244.18
  4. Step 4: Simplify right side
    418.88x = 141,192.20
  5. Step 5: Solve for x
    x = 141,192.20/418.88
  6. Step 6: Final answer
    x = 337.07

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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.