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Finding the Fourth Proportional to 464.45, 641.25 and 381.83

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Solution

The fourth proportional to 464.45, 641.25 and 381.83 is: 527.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.45 : 641.25 = 381.83 : x
  2. Step 2: Convert to fraction form
    464.45/641.25 = 381.83/x
  3. Step 3: Cross multiply
    464.45x = 641.25 × 381.83
  4. Step 4: Simplify right side
    464.45x = 244,845.28
  5. Step 5: Solve for x
    x = 244,845.28/464.45
  6. Step 6: Final answer
    x = 527.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.