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Finding the Fourth Proportional to 418.14, 626.80 and 174.43

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Solution

The fourth proportional to 418.14, 626.80 and 174.43 is: 261.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.14 : 626.80 = 174.43 : x
  2. Step 2: Convert to fraction form
    418.14/626.80 = 174.43/x
  3. Step 3: Cross multiply
    418.14x = 626.80 × 174.43
  4. Step 4: Simplify right side
    418.14x = 109,332.72
  5. Step 5: Solve for x
    x = 109,332.72/418.14
  6. Step 6: Final answer
    x = 261.47

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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.