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Finding the Fourth Proportional to 418.05, 626.81 and 374.85

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Solution

The fourth proportional to 418.05, 626.81 and 374.85 is: 562.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.05 : 626.81 = 374.85 : x
  2. Step 2: Convert to fraction form
    418.05/626.81 = 374.85/x
  3. Step 3: Cross multiply
    418.05x = 626.81 × 374.85
  4. Step 4: Simplify right side
    418.05x = 234,957.85
  5. Step 5: Solve for x
    x = 234,957.85/418.05
  6. Step 6: Final answer
    x = 562.03

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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.