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Finding the Fourth Proportional to 648.49, 971.97 and 237.36

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Solution

The fourth proportional to 648.49, 971.97 and 237.36 is: 355.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.49 : 971.97 = 237.36 : x
  2. Step 2: Convert to fraction form
    648.49/971.97 = 237.36/x
  3. Step 3: Cross multiply
    648.49x = 971.97 × 237.36
  4. Step 4: Simplify right side
    648.49x = 230,706.80
  5. Step 5: Solve for x
    x = 230,706.80/648.49
  6. Step 6: Final answer
    x = 355.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.