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Finding the Fourth Proportional to 414.89, 622.47 and 232.64

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Solution

The fourth proportional to 414.89, 622.47 and 232.64 is: 349.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.89 : 622.47 = 232.64 : x
  2. Step 2: Convert to fraction form
    414.89/622.47 = 232.64/x
  3. Step 3: Cross multiply
    414.89x = 622.47 × 232.64
  4. Step 4: Simplify right side
    414.89x = 144,811.42
  5. Step 5: Solve for x
    x = 144,811.42/414.89
  6. Step 6: Final answer
    x = 349.04

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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.