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Finding the Fourth Proportional to 464.38, 640.29 and 381.22

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Solution

The fourth proportional to 464.38, 640.29 and 381.22 is: 525.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.38 : 640.29 = 381.22 : x
  2. Step 2: Convert to fraction form
    464.38/640.29 = 381.22/x
  3. Step 3: Cross multiply
    464.38x = 640.29 × 381.22
  4. Step 4: Simplify right side
    464.38x = 244,089.75
  5. Step 5: Solve for x
    x = 244,089.75/464.38
  6. Step 6: Final answer
    x = 525.63

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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.