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Finding the Fourth Proportional to 414.33, 621.46 and 125.74

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Solution

The fourth proportional to 414.33, 621.46 and 125.74 is: 188.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.33 : 621.46 = 125.74 : x
  2. Step 2: Convert to fraction form
    414.33/621.46 = 125.74/x
  3. Step 3: Cross multiply
    414.33x = 621.46 × 125.74
  4. Step 4: Simplify right side
    414.33x = 78,142.38
  5. Step 5: Solve for x
    x = 78,142.38/414.33
  6. Step 6: Final answer
    x = 188.60

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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.