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Finding the Fourth Proportional to 414.45, 621.63 and 125.91

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Solution

The fourth proportional to 414.45, 621.63 and 125.91 is: 188.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.45 : 621.63 = 125.91 : x
  2. Step 2: Convert to fraction form
    414.45/621.63 = 125.91/x
  3. Step 3: Cross multiply
    414.45x = 621.63 × 125.91
  4. Step 4: Simplify right side
    414.45x = 78,269.43
  5. Step 5: Solve for x
    x = 78,269.43/414.45
  6. Step 6: Final answer
    x = 188.85

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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.