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Finding the Fourth Proportional to 418.85, 627.86 and 213.51

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Solution

The fourth proportional to 418.85, 627.86 and 213.51 is: 320.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.85 : 627.86 = 213.51 : x
  2. Step 2: Convert to fraction form
    418.85/627.86 = 213.51/x
  3. Step 3: Cross multiply
    418.85x = 627.86 × 213.51
  4. Step 4: Simplify right side
    418.85x = 134,053.32
  5. Step 5: Solve for x
    x = 134,053.32/418.85
  6. Step 6: Final answer
    x = 320.05

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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.