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Finding the Fourth Proportional to 418.02, 626.70 and 174.73

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Solution

The fourth proportional to 418.02, 626.70 and 174.73 is: 261.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.02 : 626.70 = 174.73 : x
  2. Step 2: Convert to fraction form
    418.02/626.70 = 174.73/x
  3. Step 3: Cross multiply
    418.02x = 626.70 × 174.73
  4. Step 4: Simplify right side
    418.02x = 109,503.42
  5. Step 5: Solve for x
    x = 109,503.42/418.02
  6. Step 6: Final answer
    x = 261.96

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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.