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Finding the Fourth Proportional to 397.44, 548.37 and 242.19

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Solution

The fourth proportional to 397.44, 548.37 and 242.19 is: 334.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.44 : 548.37 = 242.19 : x
  2. Step 2: Convert to fraction form
    397.44/548.37 = 242.19/x
  3. Step 3: Cross multiply
    397.44x = 548.37 × 242.19
  4. Step 4: Simplify right side
    397.44x = 132,809.73
  5. Step 5: Solve for x
    x = 132,809.73/397.44
  6. Step 6: Final answer
    x = 334.16

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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.