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Finding the Fourth Proportional to 418.05, 627.71 and 331.92

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Solution

The fourth proportional to 418.05, 627.71 and 331.92 is: 498.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.05 : 627.71 = 331.92 : x
  2. Step 2: Convert to fraction form
    418.05/627.71 = 331.92/x
  3. Step 3: Cross multiply
    418.05x = 627.71 × 331.92
  4. Step 4: Simplify right side
    418.05x = 208,347.84
  5. Step 5: Solve for x
    x = 208,347.84/418.05
  6. Step 6: Final answer
    x = 498.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.