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Finding the Fourth Proportional to 418.96, 627.83 and 202.08

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Solution

The fourth proportional to 418.96, 627.83 and 202.08 is: 302.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.96 : 627.83 = 202.08 : x
  2. Step 2: Convert to fraction form
    418.96/627.83 = 202.08/x
  3. Step 3: Cross multiply
    418.96x = 627.83 × 202.08
  4. Step 4: Simplify right side
    418.96x = 126,871.89
  5. Step 5: Solve for x
    x = 126,871.89/418.96
  6. Step 6: Final answer
    x = 302.83

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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.