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Finding the Fourth Proportional to 397.61, 548.67 and 240.23

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Solution

The fourth proportional to 397.61, 548.67 and 240.23 is: 331.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.61 : 548.67 = 240.23 : x
  2. Step 2: Convert to fraction form
    397.61/548.67 = 240.23/x
  3. Step 3: Cross multiply
    397.61x = 548.67 × 240.23
  4. Step 4: Simplify right side
    397.61x = 131,804.25
  5. Step 5: Solve for x
    x = 131,804.25/397.61
  6. Step 6: Final answer
    x = 331.50

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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.