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Finding the Fourth Proportional to 470.39, 648.72 and 371.97

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Solution

The fourth proportional to 470.39, 648.72 and 371.97 is: 512.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.39 : 648.72 = 371.97 : x
  2. Step 2: Convert to fraction form
    470.39/648.72 = 371.97/x
  3. Step 3: Cross multiply
    470.39x = 648.72 × 371.97
  4. Step 4: Simplify right side
    470.39x = 241,304.38
  5. Step 5: Solve for x
    x = 241,304.38/470.39
  6. Step 6: Final answer
    x = 512.99

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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.