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Finding the Fourth Proportional to 418.92, 578.16 and 244.23

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Solution

The fourth proportional to 418.92, 578.16 and 244.23 is: 337.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.92 : 578.16 = 244.23 : x
  2. Step 2: Convert to fraction form
    418.92/578.16 = 244.23/x
  3. Step 3: Cross multiply
    418.92x = 578.16 × 244.23
  4. Step 4: Simplify right side
    418.92x = 141,204.02
  5. Step 5: Solve for x
    x = 141,204.02/418.92
  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.