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Finding the Fourth Proportional to 418.56, 627.20 and 202.24

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Solution

The fourth proportional to 418.56, 627.20 and 202.24 is: 303.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.56 : 627.20 = 202.24 : x
  2. Step 2: Convert to fraction form
    418.56/627.20 = 202.24/x
  3. Step 3: Cross multiply
    418.56x = 627.20 × 202.24
  4. Step 4: Simplify right side
    418.56x = 126,844.93
  5. Step 5: Solve for x
    x = 126,844.93/418.56
  6. Step 6: Final answer
    x = 303.05

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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.