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Finding the Fourth Proportional to 414.28, 621.54 and 157.84

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Solution

The fourth proportional to 414.28, 621.54 and 157.84 is: 236.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.28 : 621.54 = 157.84 : x
  2. Step 2: Convert to fraction form
    414.28/621.54 = 157.84/x
  3. Step 3: Cross multiply
    414.28x = 621.54 × 157.84
  4. Step 4: Simplify right side
    414.28x = 98,103.87
  5. Step 5: Solve for x
    x = 98,103.87/414.28
  6. Step 6: Final answer
    x = 236.81

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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.