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Finding the Fourth Proportional to 418.40, 626.96 and 201.92

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Solution

The fourth proportional to 418.40, 626.96 and 201.92 is: 302.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.40 : 626.96 = 201.92 : x
  2. Step 2: Convert to fraction form
    418.40/626.96 = 201.92/x
  3. Step 3: Cross multiply
    418.40x = 626.96 × 201.92
  4. Step 4: Simplify right side
    418.40x = 126,595.76
  5. Step 5: Solve for x
    x = 126,595.76/418.40
  6. Step 6: Final answer
    x = 302.57

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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.