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Finding the Fourth Proportional to 464.57, 641.08 and 254.71

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Solution

The fourth proportional to 464.57, 641.08 and 254.71 is: 351.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.57 : 641.08 = 254.71 : x
  2. Step 2: Convert to fraction form
    464.57/641.08 = 254.71/x
  3. Step 3: Cross multiply
    464.57x = 641.08 × 254.71
  4. Step 4: Simplify right side
    464.57x = 163,285.01
  5. Step 5: Solve for x
    x = 163,285.01/464.57
  6. Step 6: Final answer
    x = 351.48

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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.