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Finding the Fourth Proportional to 418.09, 577.19 and 329.39

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Solution

The fourth proportional to 418.09, 577.19 and 329.39 is: 454.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.09 : 577.19 = 329.39 : x
  2. Step 2: Convert to fraction form
    418.09/577.19 = 329.39/x
  3. Step 3: Cross multiply
    418.09x = 577.19 × 329.39
  4. Step 4: Simplify right side
    418.09x = 190,118.97
  5. Step 5: Solve for x
    x = 190,118.97/418.09
  6. Step 6: Final answer
    x = 454.74

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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.