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Finding the Fourth Proportional to 397.75, 548.96 and 242.59

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Solution

The fourth proportional to 397.75, 548.96 and 242.59 is: 334.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.75 : 548.96 = 242.59 : x
  2. Step 2: Convert to fraction form
    397.75/548.96 = 242.59/x
  3. Step 3: Cross multiply
    397.75x = 548.96 × 242.59
  4. Step 4: Simplify right side
    397.75x = 133,172.21
  5. Step 5: Solve for x
    x = 133,172.21/397.75
  6. Step 6: Final answer
    x = 334.81

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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.