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Finding the Fourth Proportional to 464.50, 641.01 and 257.54

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Solution

The fourth proportional to 464.50, 641.01 and 257.54 is: 355.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.50 : 641.01 = 257.54 : x
  2. Step 2: Convert to fraction form
    464.50/641.01 = 257.54/x
  3. Step 3: Cross multiply
    464.50x = 641.01 × 257.54
  4. Step 4: Simplify right side
    464.50x = 165,085.72
  5. Step 5: Solve for x
    x = 165,085.72/464.50
  6. Step 6: Final answer
    x = 355.41

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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.