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Finding the Fourth Proportional to 397.42, 548.31 and 242.08

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Solution

The fourth proportional to 397.42, 548.31 and 242.08 is: 333.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.42 : 548.31 = 242.08 : x
  2. Step 2: Convert to fraction form
    397.42/548.31 = 242.08/x
  3. Step 3: Cross multiply
    397.42x = 548.31 × 242.08
  4. Step 4: Simplify right side
    397.42x = 132,734.88
  5. Step 5: Solve for x
    x = 132,734.88/397.42
  6. Step 6: Final answer
    x = 333.99

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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.