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Finding the Fourth Proportional to 648.41, 972.09 and 231.80

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Solution

The fourth proportional to 648.41, 972.09 and 231.80 is: 347.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.41 : 972.09 = 231.80 : x
  2. Step 2: Convert to fraction form
    648.41/972.09 = 231.80/x
  3. Step 3: Cross multiply
    648.41x = 972.09 × 231.80
  4. Step 4: Simplify right side
    648.41x = 225,325.60
  5. Step 5: Solve for x
    x = 225,325.60/648.41
  6. Step 6: Final answer
    x = 347.51

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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.