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Finding the Fourth Proportional to 464.41, 640.89 and 257.41

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Solution

The fourth proportional to 464.41, 640.89 and 257.41 is: 355.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.41 : 640.89 = 257.41 : x
  2. Step 2: Convert to fraction form
    464.41/640.89 = 257.41/x
  3. Step 3: Cross multiply
    464.41x = 640.89 × 257.41
  4. Step 4: Simplify right side
    464.41x = 164,971.49
  5. Step 5: Solve for x
    x = 164,971.49/464.41
  6. Step 6: Final answer
    x = 355.23

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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.