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Finding the Fourth Proportional to 418.30, 627.84 and 213.02

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Solution

The fourth proportional to 418.30, 627.84 and 213.02 is: 319.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.30 : 627.84 = 213.02 : x
  2. Step 2: Convert to fraction form
    418.30/627.84 = 213.02/x
  3. Step 3: Cross multiply
    418.30x = 627.84 × 213.02
  4. Step 4: Simplify right side
    418.30x = 133,739.32
  5. Step 5: Solve for x
    x = 133,739.32/418.30
  6. Step 6: Final answer
    x = 319.72

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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.